diff --git a/quickstep/src/com/android/quickstep/RecentTasksList.java b/quickstep/src/com/android/quickstep/RecentTasksList.java
index e1b4474..cedd952 100644
--- a/quickstep/src/com/android/quickstep/RecentTasksList.java
+++ b/quickstep/src/com/android/quickstep/RecentTasksList.java
@@ -44,6 +44,7 @@
     private final KeyguardManagerCompat mKeyguardManager;
     private final MainThreadExecutor mMainThreadExecutor;
     private final BackgroundExecutor mBgThreadExecutor;
+    private final TaskListStabilizer mStabilizer = new TaskListStabilizer();
 
     // The list change id, increments as the task list changes in the system
     private int mChangeId;
@@ -83,7 +84,7 @@
         final int requestLoadId = mChangeId;
         Runnable resultCallback = callback == null
                 ? () -> { }
-                : () -> callback.accept(mTasks);
+                : () -> callback.accept(mStabilizer.reorder(mTasks));
 
         if (mLastLoadedId == mChangeId && (!mLastLoadHadKeysOnly || loadKeysOnly)) {
             // The list is up to date, callback with the same list
diff --git a/quickstep/src/com/android/quickstep/TaskListStabilizer.java b/quickstep/src/com/android/quickstep/TaskListStabilizer.java
new file mode 100644
index 0000000..0d23973
--- /dev/null
+++ b/quickstep/src/com/android/quickstep/TaskListStabilizer.java
@@ -0,0 +1,95 @@
+/*
+ * Copyright (C) 2019 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package com.android.quickstep;
+
+import static com.android.launcher3.config.FeatureFlags.ENABLE_TASK_STABILIZER;
+
+import android.os.SystemClock;
+import android.util.SparseArray;
+
+import com.android.launcher3.util.IntArray;
+import com.android.launcher3.util.IntSet;
+import com.android.systemui.shared.recents.model.Task;
+
+import java.util.ArrayList;
+
+public class TaskListStabilizer {
+
+    private static final long TASK_CACHE_TIMEOUT_MS = 5000;
+
+    private final SparseArray<Task> mTempMap = new SparseArray<>();
+    private final IntArray mTempArray = new IntArray();
+    private final IntSet mTempSet = new IntSet();
+
+    private final IntArray mLastStableOrder = new IntArray();
+    private final IntSet mLastSet = new IntSet();
+    private final IntArray mLastUnstableOrder = new IntArray();
+
+    private long mLastReorderTime;
+
+    public ArrayList<Task> reorder(ArrayList<Task> tasks) {
+        if (!ENABLE_TASK_STABILIZER.get()) {
+            return tasks;
+        }
+
+        // Create task id array
+        int count = tasks.size();
+        mTempArray.clear();
+        mTempSet.clear();
+        mTempMap.clear();
+
+        for (int i = 0; i < count; i++) {
+            Task t = tasks.get(i);
+            mTempMap.put(t.key.id, t);
+
+            mTempSet.add(t.key.id);
+            mTempArray.add(t.key.id);
+        }
+
+        if (mLastSet.equals(mTempSet) && isStabilizationQuickEnough()) {
+            if (mLastStableOrder.equals(mTempArray)) {
+                // Everything is same
+                return tasks;
+            }
+
+            if (!mLastUnstableOrder.equals(mTempArray)) {
+                // Fast reordering, record the current time.
+                mLastUnstableOrder.copyFrom(mTempArray);
+                mLastReorderTime = SystemClock.uptimeMillis();
+            }
+
+            // Reorder the tasks based on the last stable order.
+            ArrayList<Task> sorted = new ArrayList<>(count);
+            for (int i = 0; i < count; i++) {
+                sorted.add(mTempMap.get(mLastStableOrder.get(i)));
+            }
+            return sorted;
+        }
+
+        // Cache the data
+        mLastStableOrder.copyFrom(mTempArray);
+        mLastUnstableOrder.copyFrom(mTempArray);
+        mLastSet.copyFrom(mTempSet);
+
+        mLastReorderTime = SystemClock.uptimeMillis();
+
+        return tasks;
+    }
+
+    private boolean isStabilizationQuickEnough() {
+        return (SystemClock.uptimeMillis() - mLastReorderTime) < TASK_CACHE_TIMEOUT_MS;
+    }
+}
diff --git a/quickstep/src/com/android/quickstep/views/RecentsView.java b/quickstep/src/com/android/quickstep/views/RecentsView.java
index 7842fa4..1cd1ab9 100644
--- a/quickstep/src/com/android/quickstep/views/RecentsView.java
+++ b/quickstep/src/com/android/quickstep/views/RecentsView.java
@@ -749,7 +749,8 @@
         setRunningTaskIconScaledDown(runningTaskIconScaledDown);
         setRunningTaskHidden(runningTaskTileHidden);
 
-        setCurrentPage(0);
+        TaskView tv = getRunningTaskView();
+        setCurrentPage(tv == null ? 0 : indexOfChild(tv));
 
         // Load the tasks (if the loading is already
         mTaskListChangeId = mModel.getTasks(this::applyLoadPlan);
diff --git a/src/com/android/launcher3/config/BaseFlags.java b/src/com/android/launcher3/config/BaseFlags.java
index 23ad912..3f420fa 100644
--- a/src/com/android/launcher3/config/BaseFlags.java
+++ b/src/com/android/launcher3/config/BaseFlags.java
@@ -95,6 +95,9 @@
     public static final TogglableFlag APPLY_CONFIG_AT_RUNTIME = new TogglableFlag(
             "APPLY_CONFIG_AT_RUNTIME", false, "Apply display changes dynamically");
 
+    public static final TogglableFlag ENABLE_TASK_STABILIZER = new TogglableFlag(
+            "ENABLE_TASK_STABILIZER", true, "Stable task list across fast task switches");
+
     public static void initialize(Context context) {
         // Avoid the disk read for user builds
         if (Utilities.IS_DEBUG_DEVICE) {
diff --git a/src/com/android/launcher3/util/IntArray.java b/src/com/android/launcher3/util/IntArray.java
index b2fb32a..d2a551f 100644
--- a/src/com/android/launcher3/util/IntArray.java
+++ b/src/com/android/launcher3/util/IntArray.java
@@ -100,6 +100,14 @@
     }
 
     /**
+     * Sets the array to be same as {@param other}
+     */
+    public void copyFrom(IntArray other) {
+        clear();
+        addAll(other);
+    }
+
+    /**
      * Ensures capacity to append at least <code>count</code> values.
      */
     private void ensureCapacity(int count) {
@@ -127,6 +135,25 @@
         return wrap(toArray());
     }
 
+    @Override
+    public boolean equals(Object obj) {
+        if (obj == this) {
+            return true;
+        }
+        if (obj instanceof IntArray) {
+            IntArray arr = (IntArray) obj;
+            if (mSize == arr.mSize) {
+                for (int i = 0; i < mSize; i++) {
+                    if (arr.mValues[i] != mValues[i]) {
+                        return false;
+                    }
+                }
+                return true;
+            }
+        }
+        return false;
+    }
+
     /**
      * Returns the value at the specified position in this array.
      */
diff --git a/src/com/android/launcher3/util/IntSet.java b/src/com/android/launcher3/util/IntSet.java
index 2459fad..851f129 100644
--- a/src/com/android/launcher3/util/IntSet.java
+++ b/src/com/android/launcher3/util/IntSet.java
@@ -49,10 +49,29 @@
         return mArray.size();
     }
 
+    public void clear() {
+        mArray.clear();
+    }
+
+    @Override
+    public boolean equals(Object obj) {
+        if (obj == this) {
+            return true;
+        }
+        return (obj instanceof IntSet) && ((IntSet) obj).mArray.equals(mArray);
+    }
+
     public IntArray getArray() {
         return mArray;
     }
 
+    /**
+     * Sets this set to be same as {@param other}
+     */
+    public void copyFrom(IntSet other) {
+        mArray.copyFrom(other.mArray);
+    }
+
     public static IntSet wrap(IntArray array) {
         IntSet set = new IntSet();
         set.mArray.addAll(array);