Hi,
did you read
http://forum.deutsche-emark.de/printthread.php?tid=330If it is not your native language just use google translator.
schnipp
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Coin age based selection
Peercoin's proof-of-stake system combines randomization with the concept of "coin age," a number derived from the product of the number of coins times the number of days the coins have been held. Coins that have been unspent for at least 30 days begin competing for the next block. Older and larger sets of coins have a greater probability of signing the next block. However, once a stake of coins has been used to sign a block, they must start over with zero "coin age" and thus wait at least 30 more days before signing another block. Also, the probability of finding the next block reaches a maximum after 90 days in order to prevent very old or very large collections of stakes from dominating the blockchain.[2][7][8] This process secures the network and gradually produces new coins over time without consuming significant computational power.[9] Peercoin's developer claims that this makes a malicious attack on the network more difficult due to the lack of a need for centralized mining pools and the fact that purchasing more than half of the coins is likely more costly than acquiring 51% of proof-of-work hashing power .
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schnapp
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I have a lot of PoS coins and this is exactly how they are working and they are giving coins without leaving the wallets open.
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How will you get coins if your wallet is not open

??
at the moment your wallet is open your held coins a 'fighting' for the next Pos-block....the more and the aged they are the faster you will get pos-rewards...........that is all
imho Dem is working like peercoin (in the pos part)
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at your wallet you can see the coins that have get pos-reward (in the column stake) the rest is still 'fighting for pos reward'
i think if you leave your wallet open for a couple of hours you will get your 3.8% stake !!