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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

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A simple equation with a normal distribution

Since $f$ is even, your question is equivalent to solving $x-y=f(x)-f(y)$, for $x,y\in\mathbb{R}$. Assume $x\neq y$. Then by mean value theorem, there exists some $t$ in the interval $]x,y[$, such tha …
Anna Petrova's user avatar