A processor including computation groups, each computation group including computation cores, the processor being capable of simultaneously implementing a plurality of applications, each application being implemented by a computation core and possibly requiring a read-mode or write-mode access to an external memory connected to the processor. At least one core, called dedicated core, of at least one computation group is dedicated to management of the external memory, the management making it possible to temporally and spatially organize read-mode and write-mode accesses to the external memory of each application requiring a read or a write in the external memory implemented by the processor.