publications

Universal properties of branching random walks in confined geometries

Clélia De Mulatier 1, 2 Alain Mazzolo 2 Andrea Zoia 2 Europhysics Letters, EDP Science, 2014, 107, pp.30001 Characterizing the occupation statistics of a radiation flow through confined geometries is key to such technological issues as nuclear reactor design and medical diagnosis. This amounts to assessing the distribution of the travelled length $\ell$ and the […]

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Universal Order and Gap Statistics of Critical Branching Brownian Motion

Kabir Ramola 1 Satya N. Majumdar 1 Gregory Schehr 1 Physical Review Letters, American Physical Society, 2014, 112, pp.210602 We study the order statistics of one dimensional branching Brownian motion in which particles either diffuse (with diffusion constant $D$), die (with rate $d$) or split into two particles (with rate $b$). At the critical point

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Universal covariance formula for linear statistics on random matrices

Fabio Deelan Cunden 1, 2 Pierpaolo Vivo 3 Physical Review Letters, American Physical Society, 2014, 113, pp.070202 We derive an analytical formula for the covariance $\mathrm{Cov}(A,B)$ of two smooth linear statistics $A=\sum_i a(\lambda_i)$ and $B=\sum_i b(\lambda_i)$ to leading order for $N\to\infty$, where $\{\lambda_i\}$ are the $N$ real eigenvalues of a general one-cut random-matrix model with

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Ultrafast switching to a stable hidden topologically protected quantum state in an electronic crystal

L. Stojchevska 1, 2 I. Vaskivskyi 1 T. Mertelj 1 P. Kusar 1 D. Svetin 1 S. Brazovskii 3, 4 D. Mihailovic 1, 2, 5 Science, American Association for the Advancement of Science, 2014, 344, pp.177-180 Hidden states of matter with novel and unusual properties may be created if a system out of equilibrium can

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Topological transition in disordered planar matching: combinatorial arcs expansion

Andrey Y. Lokhov 1 Olga V. Valba 2, 3 Sergei K. Nechaev 1, 4, 3 Mikhail V. Tamm 5, 3 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2014, pp.P12004 In this paper, we investigate analytically the properties of the disordered Bernoulli model of planar matching. This model is characterized by a topological phase

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Top eigenvalue of a random matrix: large deviations and third order phase transition

Satya N. Majumdar 1 Gregory Schehr 1 Journal of Statistical Mechanics: Theory and Experiment, IOP Science, 2014, pp.P01012 We study the fluctuations of the largest eigenvalue $\lambda_{\max}$ of $N \times N$ random matrices in the limit of large $N$. The main focus is on Gaussian $\beta$-ensembles, including in particular the Gaussian orthogonal ($\beta=1$), unitary ($\beta=2$)

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Thomas precession, persistent spin currents and quantum forces

Stephane Ouvry 1 Leonid Pastur 2 Andrey Yanovsky 2 Europhysics Letters, EDP Science, 2014, 106, pp.18001 We consider T-invariant spin currents induced by spin-orbit interactions which originate from the confined motion of spin carriers in nanostructures. The resulting Thomas spin precession is a fundamental and purely kinematic relativistic effect occurring when the acceleration of carriers

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The two scenarios for quantum multifractality breakdown

Rémy Dubertrand 1 Ignacio García-Mata 2 Bertrand Georgeot 1 Olivier Giraud 3 Gabriel Lemarié 1 J. Martin 4 Physical Review Letters, American Physical Society, 2014, 112, pp.234101. <10.1103/PhysRevLett.112.234101> We expose two scenarios for the breakdown of quantum multifractality under the effect of perturbations. In the first scenario, multifractality survives below a certain scale of the

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