Sorry for the naive question, but something that is still somewhat unclear in my mind is what happens to a transaction targeting my wallet (aka to one my addresses) if my bitcoin client is offline.

Well, for the duration of the offline status, it's very clear to see that nothing will happen which is just the nature of the bitcoin network; but what about the reconnection time?

I am guessing that the network provides some sort of catch-up mechanism, but I would be interested to understand better how a given wallet after of period of offline activity gets updated to its latest BTC value.

Thanks in advance,

Best regards,
Joannes Vermorel