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Results tagged with mp.mathematical-physics
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user 30684
Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.
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Building a Physical Model to Solve Sudoku
Maybe this paper does what you are looking for ?
Optimization hardness as transient chaos in an analog approach to constraint satisfaction
M Ercsey-Ravasz, Z Toroczkai - Nature Physics, 2011
http://a …
- 2,281
6
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Open problems in mathematical physics
The following contains several open problems (as of 2001, but most are still open I believe) in topological fluid dynamics by Moffatt :
Some Remarks on Topological Fluid Mechanics
1
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1
answer
281
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Spectral perturbation theory of discrete spectra in presence of continuous spectrum
This is a 2 part question:
1). I am looking for a (hopefully accessible to beginning grad student who knows matrix perturbation theory) reference for doing concrete calculations of perturbed discrete …
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9
votes
Book on the Three body Problem
For the Restricted three-body problem, I suggest:
Dynamical Systems, the Three-Body Problem and Space Mission Design By Marsden,Koon,Lo and Ross Available free at: www2.esm.vt.edu/~sdross/books
This …
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1
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Mathematical physics without partial derivatives
One way for reformulating all of (classical) mechanics is Peridynamics, which does away with derivatives. It is essentially a non-local reformulation.
Javili, Ali, et al. "Peridynamics review." Mathem …
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5
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1
answer
268
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Do there exist any variational principles on the space of braids (or knots)?
This is very speculative question and I do not know where to start looking up the literature, or if what I am looking for is even mathematically possible/meaningful.
Q: I am interested in finding out …
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3
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0
answers
125
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Rigorous stability analysis of infinite dimensional ODEs : How to bound the tails?
My question is about linear stability analysis of dynamical systems obtained by discretizing linear(ized) partial differential equations. Consider,
$\dot{x}=Ax$, where $x$ is the infinite dimensional …
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9
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Open problems in PDEs, dynamical systems, mathematical physics
Dynamical systems is a huge field, with at least 3 (or more) subdisciplines which often interact with each other, but also have self-contained advances. Ergodic theory, topological dynamical systems, …
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1
answer
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When is a stationary measure of a Markov chain "exponentially localized"?
Here exponentially localized can be thought in a non-rigorous manner as a measure that is mostly supported on a sparse number of nodes.
Some intuition can gained by thinking about a diffusion process, …
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