Topic: |
Statistical Mechanical Perspectives on Cosmological Puzzles |
Date: |
19.04.21 |
Time: |
16:15 |
Place: |
cyberspace |
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KU Leuven |
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Topic: |
Integrability and Universality in nonlinear waves |
Date: |
05.02.21 |
Time: |
16:15 |
Place: |
ZOOM/Konferenzschaltung |
Guest: |
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University of Bristol |
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Abstract: |
What is an integrable system? Intuitively, an integrable system is a dynamical system that can be integrated directly. While in principle integrable systems should be very rare, it happens that in nature, a lot of fundamental systems are integrable such as many models of nonlinear waves, models in statistical mechanics and in theory of random matrices. The study of nonlinear waves has led to many remarkable discoveries, one of them being 'solitons', found some 50 years ago. Solitons motivated the development of the Inverse Scattering Transform (IST). History and some examples will be discussed. Finally I will present some universality results about small dispersion limits and semiclassical limits of nonlinear dispersive waves. |
Contact person: |
Topic: |
tba |
Date: |
23.03.21 |
Time: |
14:15 |
Place: |
D6-135 |
Guest: |
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Centre for Cosmology, Particle Physics and Phenomenology - CP3, Louvain-la-Neuve |
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Topic: |
Enhanced Convergence of Quantum Typicality using a Randomized Low-Rank Approximation |
Date: |
15.04.21 |
Time: |
14:39 |
Place: |
ZOOM / Konferenzschaltung |
Guest: |
Phillip Weinberg |
Northeastern University Boston |
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Topic: |
The Character Expansion in effective Theories for chiral Symmetry Breaking |
Date: |
03.12.20 |
Time: |
16:30 |
Place: |
ZOOM / Konferenzschaltung |
Guest: |
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Universität Bielefeld |
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Topic: |
On integrals of the tronquee solutions and the associated Hamiltonians for the Painleve II equation |
Date: |
03.03.21 |
Time: |
09:00 |
Place: |
ZOOM / Konferenzschaltung |
Guest: |
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Fudan University, Shanghai |
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Abstract: |
In this talk, we consider a family of tronquée solutions of the Painlevé II equation q”(s) = 2q(s)^3 + sq(s) - (2? + 1/2), ? > -1/2, which is characterized by the Stokes multipliers s_1 = -exp[-2??i], s_2 = ?, s_1 = -exp[2??i] with ? being a free parameter. These solutions include the well-known generalized Hastings-McLeod solution as a special case if ? = 0. We derive asymptotics of integrals of the tronquée solutions and the associated Hamiltonians over the real axis for ? > -1/2 and ? ? 0, with the constant terms evaluated explicitly. Our results agree with those already known in the literature if the parameters ? and ? are chosen to be special values. Some applications of our results in random matrix theory are also discussed. Joint work with Dan Dai and Shuai-Xia Xu. |
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