The default controls for Red Dead Redemption are listed below. In cases where the consoles use different terminology, the Xbox 360 control is listed first followed by the equivalent PS3 control.
Right Analog: Camera (press for Dead Eye when aimed)
Left Bumper/L1: Draw Weapon (tap)
Right Bumper/R1: Pull on reins
Left Trigger/L2: Aim
Right Trigger/R2: Shoot
A/X: Spurs (press for speed boost, hold to maintain fellow rider's pace)
Y/Triangle: Dismount
X/Square: Hitch horse (near a hitching post only), Jump (if moving fast), Rear up (if moving slow/stopped)
Driving Carriage/Wagon/Stagecoach
Left Analog: Steer
Right Analog: Camera
R3: Dead Eye
Left Bumper/ L1: Weapon Wheel
Right Bumper/ R1: Pull on reins
Left Trigger/ L2: Draw weapon and aim
Right Trigger/ R2: Shoot
A/X: Whip reins (Repeatedly tap for speed increase, hold to maintain carriage pace)
Y/Triangle: Dismount Carriage
Trivia
If a player were to not use any of the controls for a certain amount of time then the camera will switch to a scenic view of the area that the player is currently in. Using any control will return the player to the normal view.