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Satisfiability transition in asymmetric neural networks – Archive ouverte HAL

Fabián Aguirre-López 1 Mauro Pastore 1 Silvio Franz 1 Fabián Aguirre-López, Mauro Pastore, Silvio Franz. Satisfiability transition in asymmetric neural networks. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2022. ⟨hal-03721474⟩ Asymmetry in the synaptic interactions between neurons plays a crucial role in determining the memory storage and retrieval properties of recurrent neural networks. […]

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Rotons and their damping in elongated dipolar Bose-Einstein condensates – Archive ouverte HAL

S. I. MatveenkoM. S. BahovadinovM. A. BaranovG. V. Shlyapnikov 1 S. I. Matveenko, M. S. Bahovadinov, M. A. Baranov, G. V. Shlyapnikov. Rotons and their damping in elongated dipolar Bose-Einstein condensates. Physical Review A, American Physical Society 2022, 106 (1), pp.013319. ⟨10.1103/PhysRevA.106.013319⟩. ⟨hal-03784716⟩ We discuss finite temperature damping of rotons in elongated Bose-condensed dipolar gases,

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Right large deviation principle for the top eigenvalue of the sum or product of invariant random matrices – Archive ouverte HAL

Pierre Mergny 1, 2 Marc Potters 2 Pierre Mergny, Marc Potters. Right large deviation principle for the top eigenvalue of the sum or product of invariant random matrices. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2022, 2022 (6), pp.063301. ⟨10.1088/1742-5468/ac70d3⟩. ⟨hal-03738545⟩ Abstract In this note we study the right large deviation of the

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Reducing mean first passage times with intermittent confining potentials: a realization of resetting processes – Archive ouverte HAL

Gabriel Mercado-VásquezDenis BoyerSatya N. Majumdar 1 Satya Majumdar 1 Gabriel Mercado-Vásquez, Denis Boyer, Satya N. Majumdar, Satya Majumdar. Reducing mean first passage times with intermittent confining potentials: a realization of resetting processes. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2022, 2022 (9), pp.093202. ⟨10.1088/1742-5468/ac8806⟩. ⟨hal-03831989⟩ Abstract During a random search, resetting the searcher’s

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Record statistics for random walks and L\’evy flights with resetting – Archive ouverte HAL

Satya N. Majumdar 1 Philippe Mounaix 2 Sanjib Sabhapandit 3 Gregory Schehr 4 Satya N. Majumdar, Philippe Mounaix, Sanjib Sabhapandit, Gregory Schehr. Record statistics for random walks and L\’evy flights with resetting. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2022. ⟨hal-03534126⟩ We compute exactly the mean number of records $\langle R_N \rangle$ for

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Rank one HCIZ at high temperature: interpolating between classical and free convolutions – Archive ouverte HAL

Pierre Mergny 1, 2 Marc Potters 3 Pierre Mergny, Marc Potters. Rank one HCIZ at high temperature: interpolating between classical and free convolutions. SciPost Physics, SciPost Foundation, 2022, 12 (1), pp.022. ⟨10.21468/SciPostPhys.12.1.022⟩. ⟨hal-03738535⟩ We study the rank one Harish-Chandra-Itzykson-Zuber integral in the limit where \frac{N\beta}{2} \to c N β 2 → c , called the

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Random matrices associated with general barrier billiards – Archive ouverte HAL

Eugene Bogomolny 1 Eugene Bogomolny. Random matrices associated with general barrier billiards. J.Phys.A, 2022, 55 (25), pp.254002. ⟨10.1088/1751-8121/ac6f31⟩. ⟨hal-03433054⟩ The paper is devoted to the derivation of random unitary matrices whose spectral statistics is the same as statistics of quantum eigenvalues of certain deterministic two-dimensional barrier billiards. These random matrices are extracted from the exact

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Probing symmetries of quantum many-body systems through gap ratio statistics – Archive ouverte HAL

Olivier Giraud 1 Nicolas Macé 2, 3 Eric Vernier 4 Fabien Alet 3, 2 Olivier Giraud, Nicolas Macé, Eric Vernier, Fabien Alet. Probing symmetries of quantum many-body systems through gap ratio statistics. Physical Review X, 2022, 12 (1), pp.011006. ⟨10.1103/PhysRevX.12.011006⟩. ⟨hal-02992614⟩ The statistics of gap ratios between consecutive energy levels is a widely used tool,

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Optimal Resetting Brownian Bridges via Enhanced Fluctuations – Archive ouverte HAL

Benjamin de Bruyne 1 Satya N. Majumdar 1 Gregory Schehr 2 Benjamin de Bruyne, Satya N. Majumdar, Gregory Schehr. Optimal Resetting Brownian Bridges via Enhanced Fluctuations. Physical Review Letters, American Physical Society, 2022. ⟨hal-03721523⟩ We introduce a resetting Brownian bridge as a simple model to study search processes where the total search time $t_f$ is

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