A method implemented on the graphical user interface device to invoke an independent, user-localized menu in an application environment, by making a predetermined gesture with a pointing device on an arbitrary part of a display screen or surface, especially when applied in a multi-touch, multi-user environment, and in environments where multiple concurrent pointing devices are present. As an example, the user may trace out a closed loop of a specific size that invokes a default system menu at any location on the surface, even when a second user may be operating a different portion of the system elsewhere on the same surface. As an additional aspect of the invention, the method allows the user to smoothly transition between the menu-invocation and menu control.