diff --git a/Sources/SkipUI/SkipUI/Compose/ComposeExtensions.swift b/Sources/SkipUI/SkipUI/Compose/ComposeExtensions.swift
index c035bd4c..63005223 100644
--- a/Sources/SkipUI/SkipUI/Compose/ComposeExtensions.swift
+++ b/Sources/SkipUI/SkipUI/Compose/ComposeExtensions.swift
@@ -127,6 +127,11 @@ extension Modifier {
     }
 
     /// Invoke the given closure with the modified view's root bounds.
+    ///
+    /// - Warning: Callbacks can deliver bounds that differ from the previous pass by sub-pixel
+    ///   amounts (float rounding, scroll settle, in-progress animations). Callers that gate
+    ///   composed content on remembered bounds state should guard their state write with
+    ///   `Rect.isApproximatelyEqual(to:)` to avoid an idle recomposition loop.
     @Composable func onGloballyPositionedInRoot(perform: (Rect) -> Void) -> Modifier {
         return self.onGloballyPositioned {
             let bounds = $0.boundsInRoot()
@@ -185,4 +190,33 @@ extension PaddingValues {
     }
 }
 
+/// The maximum per-edge delta at which two bounds rects are treated as visually identical.
+///
+/// Global-position callbacks can report bounds that differ from the previous layout pass by
+/// sub-pixel amounts (float rounding, scroll settle, in-progress animations). Writing such a
+/// rect into gating state closes a write → recompose → remeasure → write loop that recomposes
+/// continuously while the screen is idle. Half a pixel is below anything visually meaningful.
+let boundsEpsilonPx = Float(0.5)
+
+extension Rect {
+    /// Whether every edge of this rect is within `boundsEpsilonPx` of `other`'s.
+    ///
+    /// Use to guard remembered-bounds state writes in global-position callbacks; see
+    /// `onGloballyPositionedInRoot`.
+    func isApproximatelyEqual(to other: Rect?) -> Bool {
+        guard let other else {
+            return false
+        }
+        return isWithinEpsilon(left, other.left)
+            && isWithinEpsilon(top, other.top)
+            && isWithinEpsilon(right, other.right)
+            && isWithinEpsilon(bottom, other.bottom)
+    }
+}
+
+private func isWithinEpsilon(_ a: Float, _ b: Float) -> Bool {
+    let delta = a - b
+    return delta < boundsEpsilonPx && delta > -boundsEpsilonPx
+}
+
 #endif
diff --git a/Sources/SkipUI/SkipUI/Containers/PresentationRoot.swift b/Sources/SkipUI/SkipUI/Containers/PresentationRoot.swift
index 3e7461e0..b46316b3 100644
--- a/Sources/SkipUI/SkipUI/Containers/PresentationRoot.swift
+++ b/Sources/SkipUI/SkipUI/Containers/PresentationRoot.swift
@@ -53,8 +53,12 @@ import androidx.compose.ui.platform.LocalLayoutDirection
                 rootModifier = rootModifier.imePadding()
             }
             rootModifier = rootModifier.background(Color.background.colorImpl())
-                .onGloballyPositionedInWindow {
-                    presentationBounds.value = $0
+                .onGloballyPositionedInWindow { bounds in
+                    // Guard against sub-pixel jitter: the presented content below is gated on
+                    // this state, so unfiltered writes can recompose in a loop while idle
+                    if !bounds.isApproximatelyEqual(to: presentationBounds.value) {
+                        presentationBounds.value = bounds
+                    }
                 }
             Box(modifier: rootModifier) {
                 guard presentationBounds.value != Rect.Zero else {
diff --git a/Sources/SkipUI/SkipUI/Layout/GeometryReader.swift b/Sources/SkipUI/SkipUI/Layout/GeometryReader.swift
index 2828d3cb..e104ddf8 100644
--- a/Sources/SkipUI/SkipUI/Layout/GeometryReader.swift
+++ b/Sources/SkipUI/SkipUI/Layout/GeometryReader.swift
@@ -25,8 +25,12 @@ public struct GeometryReader : View, Renderable {
     #if SKIP
     @Composable override func Render(context: ComposeContext) {
         let rememberedGlobalFramePx = remember { mutableStateOf<Rect?>(nil) }
-        Box(modifier: context.modifier.fillSize().onGloballyPositionedInRoot {
-            rememberedGlobalFramePx.value = $0
+        Box(modifier: context.modifier.fillSize().onGloballyPositionedInRoot { bounds in
+            // Guard against sub-pixel jitter: the content below is gated on this state, so
+            // unfiltered writes can recompose in a loop while the screen is idle
+            if !bounds.isApproximatelyEqual(to: rememberedGlobalFramePx.value) {
+                rememberedGlobalFramePx.value = bounds
+            }
         }) {
             if let globalFramePx = rememberedGlobalFramePx.value {
                 let proxy = GeometryProxy(globalFramePx: globalFramePx, density: LocalDensity.current, safeArea: EnvironmentValues.shared._safeArea)
diff --git a/Sources/SkipUI/SkipUI/View/AdditionalViewModifiers.swift b/Sources/SkipUI/SkipUI/View/AdditionalViewModifiers.swift
index 6899f2e9..1609b36b 100644
--- a/Sources/SkipUI/SkipUI/View/AdditionalViewModifiers.swift
+++ b/Sources/SkipUI/SkipUI/View/AdditionalViewModifiers.swift
@@ -1025,7 +1025,11 @@ extension View {
 
             var updatedContext = context
             updatedContext.modifier = context.modifier.onGloballyPositionedInRoot { rect in
-                globalFramePx.value = rect
+                // Guard against sub-pixel jitter: the transform/action above reads this state,
+                // so unfiltered writes can recompose in a loop while the screen is idle
+                if !rect.isApproximatelyEqual(to: globalFramePx.value) {
+                    globalFramePx.value = rect
+                }
             }
             renderable.Render(context: updatedContext)
         })