What was found
AIRCRAFT WAS GROUNDED: AIRSPEED UNRELIABLE INDICATIONS ON CAPTAINS SIDE. AIRSPEED INDICATIONS DROPPED TO APPROXIMATELY 190 KNOTS AT FL360 WITH AIRSPEED AURAL INDICATION. RAN CHECKLIST AND INDICATIONS RETURNED TONORMAL, BUT THIS OCCURRED THREE MORE TIMES. ADDITIONALLY, BOTH EEC LIGHTS ILLUMINATED FOR SEVERAL SECONDS IN CONJUNCTION WITH AIRSPEED INDICATIONS, THEN WENT OUT. DECESION MADE TO DIVERT TO MIA, AIRCRAFT LANDED OVERWIGHT WITHOUT INCIDENT. MAINTENANCE REPLACED CAPTAINS PITOT ADM AND TESTED IAW AMM 34-21-04.