# Tagged Questions

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1answer
262 views

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### PDF of points at the intersection of a sphere and hyperboloid in n dimensions

I'm studying a statistical mechanics problem and I have two conserved quantities: $$E = \sum_{k=0}^{M} \left[ a_1^2(k) + a_2^2(k) + b_1^2(k) + b_2^2(k)\right]$$  H = \sum_{k=0}^{M} 2 k \left[ a_1^...
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94 views

### Stochastic Resonance in Infinite Dimensions

I'll ask this from the point of view of physics more than of theoretical mathematics. I'm searching for a mathematical discussion of stochastic resonance interpreted in a PDE sense. This is a good ...
0answers
42 views

### Can the cavity method be used to analyze graphs with loops which are short?

In statistical physics, the cavity method can be regarded as a generalization of the Bethe-Peierls iterative method in tree-like graphs to the case of graphs with loops that are not too short. I would ...
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543 views

### What is the characteristic functional for Brownian motion on a sphere?

I'm a physicist, somewhat familiar with stochastic processes, but I'm a little unsure of what follows. What I basically have is a complicated quantity involving a vector that is equivalent to ...
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123 views

### Generating Conditional Random Graphs

Let $G(n,p)$ be the usual random graph on $n$ vertices with each edge existing independently with probability $p$ (no self loops , or double edges not are allowed). I would like to simulate the ...
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216 views

### Learning statistical mechanics for non-particle phenomena

I'm interested in various areas of complex systems, and I often come across articles like these: http://arxiv.org/PS_cache/cond-mat/pdf/0106/0106096v1.pdf http://arxiv.org/abs/cond-mat/9804180 The ...
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42 views

### What is the inverse of the integrated $\chi^2$ function?

I am implementing some preprocessing of variables in the context of a paper called A Neural Bayesian Estimator for Conditional Probability Densities. It states: 1.) Given a non-linear, a monotonous ...
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64 views