We need to get you back on the road. Please give us more detail. How did you determine stator was not working with the multimeter? Should have let Montibank take a look at your bike. I know me is dying to take it for a spin
(1) I presume when you say the battery goes dead, that you mean the engine stops running. The battery is not dead. Horn works, dash lights still work.
(2) Does the starter turn?
Voltage is probably too low for the igniter/ecu to operate.
Charge battery fully disconnected from your bike.
(3) Measure voltage of your fully charged battery with you voltage meter.
(4) Reconnect battery to bike and measure voltage. Same/Different? If it drops a lot there may be some sort of short or unusual load.
(5) Leave multimeter connected and start you bike. Will drop while the stater turns.
(6) Watch your voltage as you let your bike run. My guess is it will continue to decrease until it to low to run. At what voltage does it stop running. When you rev engine the voltage should increase. It the voltage does not increase when you rev. your engine there is some sort of charing problem.
Let us know the outcome.