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Results tagged with pr.probability
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user 180542
Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
1
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1
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Multiple roots of Random Polynomials
I am looking for results on the probabilities of common roots of $f(x)$ and $f'(x)$ for $f(x) = \sum_{s \in S_f} u_s x^s$ and $u_s$ i.i.d $\mathcal{N}(0,1)$-distributed, for $x \in [0,1]$. Or, put dif …
- 13
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Integral bound for square of log derivative
I am currently facing the following problem:
Given a polynomial $f(x) = \sum_{s \in S_f} u_s x^s$, $f(0)\neq 0$, $\lvert S_f \rvert \leq t$ (i.e. $f$ is $t$-sparse) with $u_s$ coming as samples from i …
- 13