Collins Chinese Dictionary Plus (3rd edition), 2011:
任凭(憑) rènpíng
I 动
allow …to do as they please
- 这(這)种(種)情况(況)下不能任凭(憑)你一人做主。 Zhè zhǒng qíngkuàng xià bùnéng rènpíng nǐ yī rén zuòzhǔ. Under these circumstances we can't let you take the decision alone.
II 连
no matter
- 任凭(憑)你是谁(誰),都不该(該)违(違)反规(規)定。 Rènpíng nǐ shì shuí,dōu bùgāi wéifǎn guīdìng. No matter who you are, you still can't break the rules.