What's the difference between USDT and USDC-E?

Could you kindly explain to me the key distinctions between USDT and USDC-E? I'm particularly interested in understanding their stability mechanisms, the platforms they are issued on, and any regulatory differences that might exist between them. Additionally, how do they compare in terms of market capitalization, liquidity, and the range of exchanges or wallets that support them? I'm also curious about any potential risks or advantages associated with holding each of these cryptocurrencies. Your insights would be greatly appreciated.