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pro vyhledávání: '"lyapunov exponent"'
We consider the top Lyapunov exponent associated to the advection-diffusion and linearised Navier-Stokes equations on the two-dimensional torus. The velocity field is given by the stochastic Navier-Stokes equations driven by a non-degenerate white-in
Externí odkaz:
http://arxiv.org/abs/2411.10419
In both the random hopping model and at topological phase transitions in one-dimensional chiral systems, the Lyapunov exponent vanishes at zero energy, but is here shown to have an inverse logarithmic increase with a coefficient that is computed expl
Externí odkaz:
http://arxiv.org/abs/2411.11063
Autor:
Young, Rory, Pugeault, Nicolas
Deep reinforcement learning agents achieve state-of-the-art performance in a wide range of simulated control tasks. However, successful applications to real-world problems remain limited. One reason for this dichotomy is because the learned policies
Externí odkaz:
http://arxiv.org/abs/2410.10674
The theory of products of random matrices and Lyapunov exponents have been widely studied and applied in the fields of biology, dynamical systems, economics, engineering and statistical physics. We consider the product of an i.i.d. sequence of $2\tim
Externí odkaz:
http://arxiv.org/abs/2406.10364
Publikováno v:
European Physical Journal C -- Particles & Fields. Sep2024, Vol. 84 Issue 9, p1-26. 26p.
Autor:
de Castro, Manuel, Osorio, Roberto R., Andujar, Francisco J., Carratalá-Sáez, Rocío, Torres, Yuri, Llanos, Diego R.
As Field Programmable Gate Arrays (FPGAs) computing capabilities continue to grow, also does the interest on building scientific accelerators around them. Tools like Xilinx's High-Level Synthesis (HLS) help to bridge the gap between traditional high-
Externí odkaz:
http://arxiv.org/abs/2408.02758
Autor:
Safronov, Oleg
We consider the discrete Schr\"odinger operators with potentials whose values are read along the orbits of a shift of finite type. We study a certain subset of the collection of energies at which the Lyapunov exponent is zero and prove monotonicity o
Externí odkaz:
http://arxiv.org/abs/2407.05373
A distinct feature of Hermitian quantum chaotic dynamics is the exponential increase of certain out-of-time-order-correlation (OTOC) functions around the Ehrenfest time with a rate given by a Lyapunov exponent. Physically, the OTOCs describe the grow
Externí odkaz:
http://arxiv.org/abs/2403.12359
Since the spontaneously broken of the Lorentz symmetry in the gravity theory with the non-minimally coupling between the Kalb-Ramond (KR) field (that acquires a nonzero vacuum expectation value) and the Einstein gravity, there exists the exactly stat
Externí odkaz:
http://arxiv.org/abs/2403.20083
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