7
votes

### Asymptotic behavior and of an integral on a d-dimensional torus

The dominant contributions for large $t$ come from the two regions around $\mathbf k_0 = \{0,\ldots,0\}$ and $\mathbf k_\pi = \{\pi,\ldots,\pi\}$, where $f(\mathbf k)\ll 1$. Note that $f(\mathbf k_0)=...

6
votes

### Possible new series for $\pi$

A related, and perhaps easier, question is whether there are other known series for 𝜋 that involve a complex parameter 𝜆 in the summand, but where the sum of the series is independent of the value ...

5
votes

### Rigorous treatment of Ostrogradsky's instability theorem?

On the problem of stability for higher-order derivative Lagrangian systems in Letters in Mathematical Physics (1987) may have the desired level of rigor (see Theorem 1).
The proof of the theorem is a ...

3
votes

### Weakly involutive $R$-matrices and representations of the symmetric group $S_N$ in restricted subspaces of $V^{\otimes N}$

In the recent physics preprint
Corcoran, De Leeuw and Pozsgay, Integrable models on Rydberg atom chains [arXiv:2405.15848]
the authors study quantum-integrable models related to $R$-matrices with ...

2
votes

### Possible new series for $\pi$

This answers the final question about other parametric similar series for $\pi$. Working on the Saha & Sinha paper, it is possible to get a bi-parametric generalization of a related formula. If $s\...

1
vote

### A soft introduction to physics for mathematicians who don't know the first thing about physics

Let me make a few comments on learning physics for someone with a good background in mathematics.
Physics relies on two pillars: a formal logical system like Euclidean geometry (of Euclid, not modern) ...

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