diff --git a/docs/RENDERER-CONTRACT.md b/docs/RENDERER-CONTRACT.md
index 63584876f..566dabeac 100644
--- a/docs/RENDERER-CONTRACT.md
+++ b/docs/RENDERER-CONTRACT.md
@@ -53,7 +53,11 @@ The rules that hold everywhere:
   listeners, and the frame, still run.
 - **The frame order is fixed:** camera flight → input → camera `changed` →
   follow → `preUpdate` → move detection → `preRender` → render →
-  `postRender`.
+  `postRender`, the default renderer's own. A camera move made by follow or
+  in `preUpdate` is reported by `changed` on the next frame.
+- **Leases:** a tool takes the pointer with `claimPointer`. With `grab`, it
+  takes only the presses it grabs on `down`; the rest, and wheel and pinch,
+  stay with the camera and everyone else.
 
 `src/render/contract/index.js` lists every member of every port in `PORTS`,
 along with `CAPABILITIES`, `FRAME_STEPS` and `QUALITY_KEYS`.
diff --git a/src/render/conformance/checks/camera.js b/src/render/conformance/checks/camera.js
index 622189a07..9a97556a1 100644
--- a/src/render/conformance/checks/camera.js
+++ b/src/render/conformance/checks/camera.js
@@ -242,6 +242,26 @@ export function cameraChecks() {
           [-1.2, -0.1],
           'pitchRange is settable',
         );
+        const { coast } = r.camera.controls;
+        for (const key of ['drag', 'zoom'])
+          ok(
+            Number.isFinite(coast[key]) && coast[key] >= 0,
+            `coast.${key} is seconds`,
+          );
+        r.camera.controls.coast = { drag: 0.25, zoom: 0 };
+        // Within rounding: an engine may keep it as a decay coefficient.
+        near(
+          r.camera.controls.coast.drag,
+          0.25,
+          1e-9,
+          'coast.drag is settable',
+        );
+        near(
+          r.camera.controls.coast.zoom,
+          0,
+          1e-9,
+          'a coast of 0 stops at once',
+        );
         r.destroy();
       },
     },
diff --git a/src/render/conformance/checks/ports.js b/src/render/conformance/checks/ports.js
index 81fa85d66..122dcd918 100644
--- a/src/render/conformance/checks/ports.js
+++ b/src/render/conformance/checks/ports.js
@@ -275,7 +275,7 @@ export function portChecks() {
             'credits.on(change)',
             (cb) => r.credits.on('change', cb),
             () => {
-              credits.push(r.credits.addStatic({ html: 'Conformance data' }));
+              credits.push(r.credits.addStatic({ text: 'Conformance data' }));
             },
           ],
           [
@@ -1363,6 +1363,251 @@ export function portChecks() {
         deepEqual(seen, ['ambient'], 'ambient again');
       },
     ),
+    check(
+      'input.lease.grab',
+      'a lease with grab takes only the presses it grabs; wheel and the rest stay free',
+      async (h, r) => {
+        if (!h.pointer) return { skip: 'no pointer in this harness' };
+        const heard = [];
+        for (const type of POINTER_TYPES) {
+          r.input.on(type, () => heard.push(`ambient:${type}`));
+        }
+        const errors = [];
+        r.on('error', (e) => errors.push(e));
+        let throwing = false;
+        const lease = r.input.claimPointer('draw', {
+          grab: (down) => {
+            if (throwing) throw new Error('conformance grab');
+            return down.type === 'down' && down.position.x < 640;
+          },
+        });
+        for (const type of POINTER_TYPES)
+          r.input.on(type, () => heard.push(`tool:${type}`), { lease });
+        const press = async (x) => {
+          heard.length = 0;
+          for (const type of ['down', 'move', 'up', 'click'])
+            await h.pointer(r, type, x, 360);
+          return heard.slice();
+        };
+        deepEqual(
+          await press(100),
+          [
+            'tool:down',
+            'ambient:move',
+            'tool:move',
+            'ambient:up',
+            'tool:up',
+            'tool:click',
+          ],
+          'a grabbed press is the tool’s; move and up go to both',
+        );
+        heard.length = 0;
+        await h.pointer(r, 'wheel', 100, 360, { delta: 1 });
+        deepEqual(
+          heard,
+          ['ambient:wheel'],
+          'wheel is never grabbed, even after a grabbed press',
+        );
+        heard.length = 0;
+        await h.pointer(r, 'pinch', 100, 360, { delta: 1.1 });
+        deepEqual(heard, ['ambient:pinch'], 'nor is pinch');
+        deepEqual(
+          await press(1000),
+          [
+            'ambient:down',
+            'ambient:move',
+            'tool:move',
+            'ambient:up',
+            'tool:up',
+            'ambient:click',
+          ],
+          'a press left alone goes to the others',
+        );
+        ok(lease.current, 'the lease stays out');
+        ok(!r.input.isPointerFree(), 'the pointer is not free');
+        throwing = true;
+        deepEqual(
+          (await press(100)).filter((x) => x.endsWith(':down')),
+          ['ambient:down'],
+          'a throwing grab leaves the press to the others',
+        );
+        equal(errors.length, 1, 'and is reported');
+        lease.release();
+      },
+    ),
+    check(
+      'input.lease.press',
+      'every event of a press goes where its down went, whatever the lease does meanwhile',
+      async (h, r) => {
+        if (!h.pointer) return { skip: 'no pointer in this harness' };
+        const heard = [];
+        for (const type of ['down', 'click', 'dblclick'])
+          r.input.on(type, () => heard.push(`ambient:${type}`));
+        const left = (down) => down.type === 'down' && down.position.x < 640;
+        const listen = (lease, name) => {
+          for (const type of ['down', 'up', 'click', 'dblclick'])
+            r.input.on(type, () => heard.push(`${name}:${type}`), { lease });
+        };
+        const at = async (x, ...types) => {
+          for (const type of types) await h.pointer(r, type, x, 360);
+        };
+
+        let lease = r.input.claimPointer('a', { grab: left });
+        listen(lease, 'a');
+        r.input.on('up', () => lease.release(), { lease });
+        heard.length = 0;
+        await at(100, 'down', 'up', 'click');
+        deepEqual(
+          heard,
+          ['a:down', 'a:up'],
+          'a lease that ends on up takes the click with it: no one hears it',
+        );
+
+        heard.length = 0;
+        await at(1000, 'down');
+        lease = r.input.claimPointer('b', { grab: () => true });
+        listen(lease, 'b');
+        await at(1000, 'up', 'click');
+        deepEqual(
+          heard,
+          ['ambient:down', 'b:up', 'ambient:click'],
+          'a press left to the others stays theirs when a lease is claimed mid-press (up goes to both)',
+        );
+
+        heard.length = 0;
+        await at(100, 'down', 'up', 'click', 'down', 'up', 'click', 'dblclick');
+        deepEqual(
+          heard.filter((x) => !x.endsWith(':up')),
+          ['b:down', 'b:click', 'b:down', 'b:click', 'b:dblclick'],
+          'a grabbed double-click is the lease’s',
+        );
+        lease.release();
+
+        lease = r.input.claimPointer('c', { grab: left });
+        listen(lease, 'c');
+        heard.length = 0;
+        await at(100, 'down', 'up', 'click');
+        await at(1000, 'click');
+        deepEqual(
+          heard.filter((x) => !x.endsWith(':up')),
+          ['c:down', 'c:click', 'ambient:click'],
+          'a click with no press of its own is decided afresh',
+        );
+        lease.release();
+
+        let latest = r.input.claimPointer('d', { grab: () => true });
+        r.input.on(
+          'down',
+          () => {
+            heard.push('d:down');
+            latest = r.input.claimPointer('e', { grab: () => false });
+          },
+          { lease: latest },
+        );
+        r.input.on('down', () => heard.push('latest:down'), {
+          lease: () => latest,
+        });
+        heard.length = 0;
+        await at(100, 'down');
+        deepEqual(
+          heard,
+          ['d:down'],
+          'a lease claimed during delivery does not inherit the press',
+        );
+        latest.release();
+
+        let replacement = null;
+        const first = r.input.claimPointer('f', {
+          grab: () => {
+            replacement = r.input.claimPointer('g');
+            return true;
+          },
+        });
+        listen(first, 'f');
+        heard.length = 0;
+        await at(100, 'down');
+        listen(replacement, 'g');
+        await at(100, 'up', 'click');
+        deepEqual(
+          heard.filter((x) => !x.endsWith(':up')),
+          [],
+          'a press grabbed by a lease its grab replaced belongs to that ended lease: no one',
+        );
+        replacement.release();
+
+        const downs = [];
+        lease = r.input.claimPointer('h', {
+          grab: (down) => {
+            downs.push(down);
+            return down.button === 0 && down.position.x < 640;
+          },
+        });
+        listen(lease, 'h');
+        const step = (type, x, button = 0) =>
+          h.pointer(r, type, x, 360, { button });
+        heard.length = 0;
+        await step('down', 100);
+        await step('move', 300);
+        await step('up', 300);
+        await step('move', 1000);
+        await step('click', 1000);
+        deepEqual(
+          heard.filter((x) => !x.endsWith(':up')),
+          ['h:down', 'ambient:click'],
+          'after a drag, a later click is a press of its own',
+        );
+        heard.length = 0;
+        await step('down', 100);
+        await step('move', 300);
+        await step('up', 300);
+        await step('click', 1000);
+        deepEqual(
+          heard.filter((x) => !x.endsWith(':up')),
+          ['h:down', 'ambient:click'],
+          'a click straight after a drag, elsewhere, is a press of its own',
+        );
+        heard.length = 0;
+        await step('down', 100, 0);
+        await step('down', 100, 2);
+        await step('up', 100, 0);
+        await step('click', 100, 0);
+        await step('up', 100, 2);
+        await step('click', 100, 2);
+        deepEqual(
+          heard.filter((x) => !x.endsWith(':up')),
+          ['h:down', 'ambient:down', 'h:click', 'ambient:click'],
+          'each button’s press is its own',
+        );
+        heard.length = 0;
+        await at(100, 'down', 'up', 'click');
+        await at(1000, 'dblclick');
+        deepEqual(
+          heard.filter((x) => !x.endsWith(':up')),
+          ['h:down', 'h:click', 'ambient:dblclick'],
+          'a double-click elsewhere is not the click’s',
+        );
+        heard.length = 0;
+        await at(100, 'down');
+        await at(1000, 'dblclick');
+        await at(100, 'up', 'click');
+        deepEqual(
+          heard.filter((x) => !x.endsWith(':up')),
+          ['h:down', 'ambient:dblclick', 'h:click'],
+          'a stray double-click during a press leaves the press its owner\u2019s',
+        );
+        downs.length = 0;
+        await at(100, 'click');
+        equal(downs.length, 1, 'an isolated click asks grab');
+        equal(downs[0]?.type, 'down', 'as a down');
+        ok(
+          !('pick' in downs[0]) &&
+            !('drill' in downs[0]) &&
+            !('ground' in downs[0]),
+          'with no pick',
+        );
+        lease.release();
+      },
+    ),
     check(
       'input.clickPick',
       'a click carries one pick shared by every subscriber',
@@ -1476,6 +1721,64 @@ export function portChecks() {
       },
       { capability: 'styles' },
     ),
+    check(
+      'effects.defineStyle',
+      'Core defines a style: listed, set, replaced and removed',
+      (h, r) => {
+        const definition = {
+          id: 'conf:tint',
+          params: [{ key: 'amount', min: 0, max: 1, default: 0.5 }],
+          animated: false,
+          shader: {
+            glsl: `uniform sampler2D colorTexture;
+uniform float intensity;
+uniform float amount;
+in vec2 v_textureCoordinates;
+void main() {
+  vec4 c = texture(colorTexture, v_textureCoordinates);
+  out_FragColor = vec4(mix(c.rgb, c.rgb * vec3(1.0, amount, amount), intensity), 1.0);
+}`,
+            wgsl: `@fragment
+fn fs_main(@location(0) uv: vec2f) -> @location(0) vec4f {
+  let c = textureSample(colorTexture, colorSampler, uv);
+  let tinted = c.rgb * vec3f(1.0, params.amount, params.amount);
+  return vec4f(mix(c.rgb, tinted, params.intensity), 1.0);
+}`,
+          },
+        };
+        const off = r.effects.defineStyle(definition);
+        equal(typeof off, 'function', 'an Off, with a GLSL and a WGSL source');
+        const listed = r.effects.styles().filter((s) => s.id === 'conf:tint');
+        equal(listed.length, 1, 'listed once');
+        deepEqual(listed[0].params, definition.params, 'with its parameters');
+        r.effects.setStyle('conf:tint', { amount: 0.2 });
+        equal(r.effects.diagnostics().style, 'conf:tint', 'set');
+        const offAgain = r.effects.defineStyle({
+          ...definition,
+          animated: true,
+        });
+        equal(
+          r.effects.styles().filter((s) => s.id === 'conf:tint').length,
+          1,
+          'a second definition replaces the first',
+        );
+        equal(
+          r.effects.diagnostics().style,
+          'conf:tint',
+          'the style stays on through its replacement',
+        );
+        off();
+        ok(
+          r.effects.styles().some((s) => s.id === 'conf:tint'),
+          'the replaced definition’s Off leaves the new one',
+        );
+        offAgain();
+        ok(!r.effects.styles().some((s) => s.id === 'conf:tint'), 'removed');
+        equal(r.effects.diagnostics().style, null, 'and turned off');
+        offAgain();
+      },
+      { capability: 'styles' },
+    ),
     check(
       'effects.withoutStyles',
       'without styles, styles() is empty',
@@ -1487,6 +1790,16 @@ export function portChecks() {
         if (!r) return { skip: 'this harness cannot drop capabilities' };
         try {
           deepEqual(r.effects.styles(), [], 'styles()');
+          equal(
+            r.effects.defineStyle({
+              id: 'x',
+              params: [],
+              animated: false,
+              shader: { glsl: 'void main() {}' },
+            }),
+            null,
+            'defineStyle() answers null',
+          );
         } finally {
           r.destroy();
         }
@@ -1499,10 +1812,17 @@ export function portChecks() {
         const events = [];
         r.credits.on('change', (list) => events.push(list.length));
         const base = r.credits.list().length;
-        const off = r.credits.addStatic({ html: 'Conformance data' });
-        ok(
-          r.credits.list().some((c) => c.html === 'Conformance data'),
-          'listed',
+        const credit = {
+          text: 'Conformance <data>',
+          href: 'https://example.invalid/data',
+          logoUrl: 'https://example.invalid/logo.png',
+          inline: true,
+        };
+        const off = r.credits.addStatic(credit);
+        deepEqual(
+          r.credits.list().find((c) => c.text === credit.text),
+          credit,
+          'listed as given, text left as text',
         );
         off();
         equal(r.credits.list().length, base, 'removed');
diff --git a/src/render/contract/camera.d.ts b/src/render/contract/camera.d.ts
index 9656320f1..90ba04d97 100644
--- a/src/render/contract/camera.d.ts
+++ b/src/render/contract/camera.d.ts
@@ -172,9 +172,13 @@ export interface CameraControls {
   enableZoom: boolean;
   minDistance: number;
   maxDistance: number;
-  inertiaSpin: number;
-  inertiaTranslate: number;
-  inertiaZoom: number;
+  /**
+   * How long a motion the user lets go of coasts: seconds for its speed to
+   * fall to 1/e. `drag` is moving the globe under the pointer and tilting
+   * (one motion in the default renderer), `zoom` is zooming; 0 stops at
+   * once. Set the whole object to change it.
+   */
+  coast: { drag: number; zoom: number };
   /** What the eye cannot pass below. */
   collision: 'none' | 'terrain' | 'tiles' | 'both';
   zoomFactor: number;
diff --git a/src/render/contract/credits.d.ts b/src/render/contract/credits.d.ts
index 7cdb6c0ec..f1546cdea 100644
--- a/src/render/contract/credits.d.ts
+++ b/src/render/contract/credits.d.ts
@@ -5,9 +5,14 @@
  */
 import type { Off } from './common';
 
+/** One credit, as plain data: Core renders and escapes it. */
 export interface Credit {
-  /** Sanitised HTML: text, links and images only. */
-  html: string;
+  /** Plain text, never markup. */
+  text: string;
+  /** Where the credit links to. */
+  href?: string;
+  /** A logo drawn before the text. */
+  logoUrl?: string;
   /** Shown on the map itself, rather than in the expanded list. */
   inline?: boolean;
 }
diff --git a/src/render/contract/effects.d.ts b/src/render/contract/effects.d.ts
index ccfbd3c34..42bf4ad81 100644
--- a/src/render/contract/effects.d.ts
+++ b/src/render/contract/effects.d.ts
@@ -1,7 +1,8 @@
 /**
  * Full-screen effects: visual styles, bloom, sharpen and screen modulation.
- * Each style is a plain full-screen pass over the frame's colour, so every
- * renderer can provide the same set.
+ * Each style is a plain full-screen pass over the frame's colour. Core owns
+ * the styles and defines them on every renderer (`defineStyle`), so each
+ * renderer runs the same set; a renderer's own styles are extra ones.
  */
 import type { Off } from './common';
 
@@ -13,6 +14,32 @@ export interface StyleDescriptor {
   animated: boolean;
 }
 
+/**
+ * A style's shader. `glsl` is a GLSL ES 3.00 fragment shader with its
+ * `main()`, as GEV's styles are written, without `#version`, `precision`
+ * or an `out` declaration: the renderer declares `out_FragColor`, which it
+ * writes. It declares what it reads of `uniform sampler2D colorTexture`,
+ * `uniform vec2 colorTextureDimensions` (pixels),
+ * `in vec2 v_textureCoordinates`, `uniform float intensity` (0..1),
+ * `uniform float time` (seconds, for an animated style) and one
+ * `uniform float` per parameter under its key. Parameter keys are GLSL
+ * identifiers and never one of those names.
+ * `wgsl`, for a renderer that runs WGSL, is the same pass: a fragment entry
+ * `fs_main` taking `@location(0) uv: vec2f` and returning the colour at
+ * `@location(0)`. Group 0 binds `colorTexture` (`texture_2d<f32>`) at 0,
+ * `colorSampler` at 1 and, at 2, a uniform struct the shader declares as
+ * `params`: `intensity: f32`, `time: f32`, `dimensions: vec2f`, then one
+ * `f32` per parameter in the order `params` lists them.
+ */
+export interface StyleShader {
+  glsl: string;
+  wgsl?: string;
+}
+
+export interface StyleDefinition extends StyleDescriptor {
+  shader: StyleShader;
+}
+
 /** A sweeping sector drawn over the frame (a sonar band), or null. */
 export interface ModulationSector {
   /** Centre of the sweep, CSS pixels. */
@@ -32,8 +59,14 @@ export interface EffectsDiagnostics {
 }
 
 export interface EffectsPort {
-  /** `styles`. */
+  /** `styles`: every style, defined by Core or the renderer's own. */
   styles(): StyleDescriptor[];
+  /**
+   * `styles`: add a style, replacing one with the same id. Null without
+   * the capability, or when the renderer runs none of the shader's
+   * languages; the Off removes it (turning it off when it is the style).
+   */
+  defineStyle(definition: StyleDefinition): Off | null;
   setStyle(id: string | null, params?: Record<string, number>): void;
   setStyleIntensity(id: string, intensity: number): void;
   setStyleParams(id: string, params: Record<string, number>): void;
diff --git a/src/render/contract/frame.d.ts b/src/render/contract/frame.d.ts
index a407347ba..bb9d3fd34 100644
--- a/src/render/contract/frame.d.ts
+++ b/src/render/contract/frame.d.ts
@@ -10,7 +10,11 @@
  * move detection (`moveStart` / `moveEnd`) → `preRender` → render →
  * `postRender`. `preUpdate` fires on every frame the loop ticks, including
  * frames that end up drawing nothing, so owners that write the camera there
- * (a cockpit, a follow clamp) see each one.
+ * (a cockpit, a follow clamp) see each one. This is the default renderer's
+ * own order. `changed` is measured before follow and `preUpdate` move the
+ * camera, so a move made there is reported by `changed` on the next frame;
+ * move detection runs after them and sees it in the same frame. The
+ * default renderer's `postUpdate` has no place here: Core does not use it.
  */
 import type { Off, Release } from './common';
 
diff --git a/src/render/contract/index.js b/src/render/contract/index.js
index 382e0f470..dac76b864 100644
--- a/src/render/contract/index.js
+++ b/src/render/contract/index.js
@@ -198,9 +198,9 @@ export const PORTS = deepFreeze({
       'controls.enableZoom',
       'controls.minDistance',
       'controls.maxDistance',
-      'controls.inertiaSpin',
-      'controls.inertiaTranslate',
-      'controls.inertiaZoom',
+      'controls.coast',
+      'controls.coast.drag',
+      'controls.coast.zoom',
       'controls.collision',
       'controls.zoomFactor',
       'controls.pitchRange',
@@ -247,6 +247,7 @@ export const PORTS = deepFreeze({
   effects: Object.fromEntries([
     ...required(
       'styles',
+      'defineStyle',
       'setStyle',
       'setStyleIntensity',
       'setStyleParams',
diff --git a/src/render/contract/input.d.ts b/src/render/contract/input.d.ts
index d1cc98013..8ea7222d9 100644
--- a/src/render/contract/input.d.ts
+++ b/src/render/contract/input.d.ts
@@ -3,9 +3,26 @@
  *
  * A tool takes the pointer with a lease; while a lease is out, ambient
  * subscribers (those without a lease) get only `move` and `up`: no presses,
- * clicks, double-clicks, wheel or pinch. Suspending camera
- * input is separate and counted, and takes effect on the same pointerdown
- * that asked for it.
+ * clicks, double-clicks, wheel or pinch. A lease with `grab` takes only the
+ * presses it grabs: `grab` is asked on each `down`, and a grabbed press (its
+ * `down`, and the `click` and `dblclick` it ends in) goes to the lease's
+ * listeners alone. Every other press, and wheel and pinch, go to ambient
+ * subscribers and the camera as if the pointer were free; `move` and `up`
+ * go to both.
+ *
+ * Every event of a press goes where its `down` went, even when the lease
+ * ends or changes before the press is over (an ended lease's to no one), so
+ * a claim never takes a press already under way. Each button's presses
+ * are separate. A press runs from its `down` through its `up`, the `click`
+ * straight after it where it went up, and a `dblclick` straight after that
+ * at the same spot;
+ * any other event after its `up` ends it. A click or double-click with no
+ * press of its own is decided as a press, `grab` seeing it as a `down`
+ * (without `pick`, `drill` or `ground`).
+ *
+ * Suspending camera input is separate and counted, and takes effect on the
+ * same pointerdown that asked for it, so a tool that grabs a press suspends
+ * the camera in its `down` listener.
  *
  * A click is delivered with its pick already made, once, and shared by
  * every subscriber (`PointerEv.pick`). A renderer whose picks answer a frame
@@ -70,8 +87,19 @@ export interface InputPort {
     cb: (ev: PointerEv) => void,
     options?: { lease?: Lease | (() => Lease | null) },
   ): Off;
-  /** Take the pointer for a tool. A new claim ends the previous lease. */
-  claimPointer(owner: string): Lease;
+  /**
+   * Take the pointer for a tool. A new claim ends the previous lease.
+   * `grab` decides each press from its `down` event, synchronously: true
+   * makes it the tool's, anything else leaves it. A `down` carries no pick,
+   * so `grab` decides from the position, button and modifiers (and the
+   * tool's own hit test, through `query`). Omitted, every press is the
+   * tool's. A `grab` that throws is reported and leaves the press to the
+   * others.
+   */
+  claimPointer(
+    owner: string,
+    options?: { grab?: (down: PointerEv) => boolean },
+  ): Lease;
   isPointerFree(): boolean;
   /** Suspend user camera input until released. Holds are counted. */
   suspendCameraControls(reason: string): Release;
diff --git a/src/render/contract/renderer.d.ts b/src/render/contract/renderer.d.ts
index 8b8ad2619..dc4a7a4d4 100644
--- a/src/render/contract/renderer.d.ts
+++ b/src/render/contract/renderer.d.ts
@@ -30,8 +30,6 @@ export interface RendererPlugin {
 export interface CreateOptions {
   /** The element the renderer fills. It creates its own canvas inside. */
   container: HTMLElement;
-  /** Where Core renders credits, when it has a place for them. */
-  creditContainer?: HTMLElement;
   /** Google Maps Platform key for photorealistic tiles. */
   googleApiKey?: string;
   /** Short-lived Google session tokens, when the key is held server-side. */
diff --git a/src/render/stub/camera.js b/src/render/stub/camera.js
index 1449b052d..1632dccf1 100644
--- a/src/render/stub/camera.js
+++ b/src/render/stub/camera.js
@@ -111,6 +111,7 @@ export function createStubCamera({
   let moving = false;
   let lastMovedAt = 0;
 
+  let coast = Object.freeze({ drag: 0.4, zoom: 0.2 });
   const controls = {
     get enabled() {
       return holds.size === 0;
@@ -125,9 +126,18 @@ export function createStubCamera({
     enableZoom: true,
     minDistance: 1,
     maxDistance: Infinity,
-    inertiaSpin: 0.9,
-    inertiaTranslate: 0.9,
-    inertiaZoom: 0.8,
+    // The default renderer's inertia as decay times: its speed falls as
+    // exp(-25 (1 - c) t), so c = 0.9 (spin, which drags and tilts in 3D)
+    // is 0.4 s and c = 0.8 (zoom) 0.2 s. Back: c = coast > 0 ? 1 - 1 / (25 coast) : 1.
+    get coast() {
+      return coast;
+    },
+    set coast(value) {
+      for (const key of ['drag', 'zoom'])
+        if (!(Number.isFinite(value?.[key]) && value[key] >= 0))
+          throw new TypeError(`coast.${key} must be seconds, 0 or more`);
+      coast = Object.freeze({ drag: value.drag, zoom: value.zoom });
+    },
     collision: 'none',
     zoomFactor: 5,
     pitchRange: [-Math.PI / 2, 0],
diff --git a/src/render/stub/index.js b/src/render/stub/index.js
index 24cbc854f..7fc55a68d 100644
--- a/src/render/stub/index.js
+++ b/src/render/stub/index.js
@@ -733,6 +733,16 @@ export function createStubRenderer(options = {}) {
     };
   }
 
+  /** Each lease's `grab`, or null when it takes every press. */
+  const leaseGrab = new WeakMap();
+  /**
+   * The presses under way, by button, from their `down`: `owner` is the
+   * lease each went to, or null when it went to everyone else. A press's
+   * click and double-click go where its down went (an ended owner's to no
+   * one).
+   */
+  const presses = new Map();
+
   const leaseOf = (entry) =>
     typeof entry.lease === 'function' ? entry.lease() : entry.lease;
 
@@ -746,9 +756,10 @@ export function createStubRenderer(options = {}) {
         if (i >= 0) pointerListeners.splice(i, 1);
       };
     },
-    claimPointer(owner) {
+    claimPointer(owner, opts = {}) {
       if (currentLease) currentLease.release();
       let released = false;
+      const grab = typeof opts.grab === 'function' ? opts.grab : null;
       const lease = {
         owner: String(owner),
         get current() {
@@ -761,6 +772,7 @@ export function createStubRenderer(options = {}) {
         },
       };
       currentLease = lease;
+      leaseGrab.set(lease, grab);
       return lease;
     },
     isPointerFree: () => currentLease === null,
@@ -774,8 +786,91 @@ export function createStubRenderer(options = {}) {
     ctrlWheelZoom: false,
   };
 
+  /** Who a new press belongs to, decided from its `down`. */
+  function pressFor(down) {
+    const lease = currentLease;
+    if (!lease) return { owner: null, clicked: false };
+    const grab = leaseGrab.get(lease);
+    let grabbed = !grab;
+    if (grab)
+      try {
+        grabbed = grab(down) === true;
+      } catch (error) {
+        report(error);
+      }
+    return { owner: grabbed ? lease : null, clicked: false };
+  }
+
+  /**
+   * Where an event goes: to one lease's listeners (`lease`), to everyone
+   * without a lease (`ambient`), or both (`move` and `up`).
+   */
+  function recipients(type, ev) {
+    const button = ev.button;
+    // A click comes straight after its press's up, and a double-click
+    // straight after that click, by the same button at the same spot;
+    // anything else after the up ends the press.
+    for (const [b, p] of presses) {
+      if (!p.up) continue;
+      const continues =
+        b === button &&
+        ((type === 'click' &&
+          !p.clicked &&
+          Math.hypot(p.at.x - ev.position.x, p.at.y - ev.position.y) <= 4) ||
+          (type === 'dblclick' &&
+            p.clicked &&
+            Math.hypot(p.at.x - ev.position.x, p.at.y - ev.position.y) <= 4));
+      if (!continues) presses.delete(b);
+    }
+    if (type === 'up' && presses.has(button)) {
+      const p = presses.get(button);
+      p.up = true;
+      p.at = ev.position;
+    }
+    if (type === 'move' || type === 'up')
+      return { lease: currentLease, ambient: true };
+    if (type === 'wheel' || type === 'pinch') {
+      const exclusive = currentLease && !leaseGrab.get(currentLease);
+      return exclusive
+        ? { lease: currentLease, ambient: false }
+        : { lease: null, ambient: true };
+    }
+    // `grab` sees a click with no press of its own as the down it stands
+    // for: no pick, no gesture.
+    const asDown = () => ({
+      ...pressFor({
+        type: 'down',
+        position: ev.position,
+        button: ev.button,
+        modifiers: ev.modifiers,
+        timestamp: ev.timestamp,
+        pointerType: ev.pointerType,
+      }),
+      up: true,
+    });
+    let current;
+    if (type === 'down') {
+      current = pressFor(ev);
+      presses.set(button, current);
+    } else {
+      // Only a press the loop above kept, at the right step, continues;
+      // anything else is a press of its own and leaves a held one alone.
+      const held = presses.get(button);
+      const continues =
+        held?.up && (type === 'click' ? !held.clicked : held.clicked);
+      current = continues ? held : asDown();
+      if (type === 'click' && (continues || !held)) {
+        current.clicked = true;
+        presses.set(button, current);
+      } else if (continues) presses.delete(button);
+    }
+    current.at = ev.position;
+    return current.owner
+      ? { lease: current.owner, ambient: false }
+      : { lease: null, ambient: true };
+  }
+
   function dispatchPointer(type, x, y, extra = {}) {
-    const free = currentLease === null;
     let picked;
     const ev = {
       type,
@@ -801,13 +896,13 @@ export function createStubRenderer(options = {}) {
         opts.limit === undefined ? hits().slice() : hits().slice(0, opts.limit);
       ev.ground = () => rayEllipsoid(pickRay(x, y));
     }
-    const ambientAlways = type === 'move' || type === 'up';
+    const to = recipients(type, ev);
     for (const entry of pointerListeners.slice()) {
       if (!entry.live || entry.type !== type) continue;
       if (entry.lease) {
         const lease = leaseOf(entry);
-        if (!lease?.current) continue;
-      } else if (!free && !ambientAlways) continue;
+        if (!to.lease || lease !== to.lease || !lease.current) continue;
+      } else if (!to.ambient) continue;
       try {
         entry.cb(ev);
       } catch (error) {
@@ -982,6 +1077,8 @@ export function createStubRenderer(options = {}) {
     modulation: null,
   };
   const effectListeners = [];
+  /** Styles Core defined, by id. */
+  const defined = new Map();
   const STYLES = Object.freeze([
     {
       id: 'retro',
@@ -997,7 +1094,40 @@ export function createStubRenderer(options = {}) {
   }
   const effects = {
     styles: () =>
-      capabilities.has('styles') ? STYLES.map((s) => ({ ...s })) : [],
+      capabilities.has('styles')
+        ? [
+            ...STYLES.filter((s) => !defined.has(s.id)),
+            ...defined.values(),
+          ].map(({ id, params, animated }) => ({
+            id,
+            params: params.map((p) => ({ ...p })),
+            animated,
+          }))
+        : [],
+    defineStyle(definition) {
+      // The stub runs GLSL only, as the default renderer does.
+      if (
+        !capabilities.has('styles') ||
+        typeof definition?.shader?.glsl !== 'string'
+      )
+        return null;
+      const entry = {
+        id: String(definition.id),
+        params: (definition.params ?? []).map((p) => ({ ...p })),
+        animated: Boolean(definition.animated),
+      };
+      defined.set(entry.id, entry);
+      effectsChanged();
+      let removed = false;
+      return () => {
+        if (removed) return;
+        removed = true;
+        if (defined.get(entry.id) !== entry) return;
+        defined.delete(entry.id);
+        if (effectState.style === entry.id) effectState.style = null;
+        effectsChanged();
+      };
+    },
     setStyle(id, params) {
       effectState.style = id;
       if (params) effectState.params[id] = { ...params };