publications

Silvio Franz, Hugo Jacquin, Giorgio Parisi, Pierfrancesco Urbani, Francesco Zamponi Proceeding of the national academy of sciences 109 (2012) 18725 We develop a full microscopic replica field theory of the dynamical transition in glasses. By studying the soft modes that appear at the dynamical temperature we obtain an effective theory for the critical fluctuations. This […]

A. Choi 1, 2, K. H. Kim 1, S. J. Hong 1, M. Goh 3, 4, K. Akagi 3, R. B. Kaner 5, N. N. Kirova 6, S. A. Brazovskii 7, A. T. Johnson 8, 9, D. A. Bonnell 8, E. J. Mele 9, Y. W. Park 1 Physical Review B (Condensed Matter) 86 (2012) 155423 Polymer nanofibers are one-dimensional organic hydrocarbon systems containing conducting polymers where the non-linear local excitations such as solitons, polarons and bipolarons formed by the electron-phonon interaction

Florent Krzakala 1, Marc Mézard 2, François Sausset 2, Yifan Sun 1, 3, Lenka Zdeborová 4 Journal of Statistical Mechanics: Theory and Experiment (2012) P08009 Compressed sensing is a signal processing method that acquires data directly in a compressed form. This allows one to make less measurements than what was considered necessary to record a signal, enabling faster or more precise measurement protocols in a wide

Samir El Shawish 1, Emmanuel Trizac 2, Jure Dobnikar 1 Journal of Physics: Condensed Matter 24 (2012) 284118 We investigate – with Monte Carlo computer simulations – the phase behaviour of dimeric colloidal molecules on periodic substrates with square symmetry. The molecules are formed in a two-dimensional suspension of like charged colloids subject to periodic external confinement, which can be experimentally

Olivier Giraud 1, Petr Braun 2, 3, Daniel Braun 4 Physical Review A 85 (2012) 032101 We give an explicit parametrization of the set of mixed quantum states and of the set of mixed classical states for a spin–1. Classical states are defined as states with a positive Glauber-Sudarshan P-function. They are at the same time the separable symmetric states of two

Atas, Y.Y., Bogomolny, E. Journal of Physics A45 (2012) 135205

Christophe Texier 1, 2 Physica Scripta 86 (2012) 058515 Some results on the ordered statistics of eigenvalues for one-dimensional random Schrödinger Hamiltonians are reviewed. In the case of supersymmetric quantum mechanics with disorder, the existence of low energy delocalized states induces eigenvalue correlations and makes the ordered statistics problem nontrivial. The resulting distributions are used to analyze the

Jinho Baik 1, Karl Liechty 1, Gregory Schehr 2 Journal of Mathematical Physics 53 (2012) 083303 The maximal point of the Airy2 process minus a parabola is believed to describe the scaling limit of the end-point of the directed polymer in a random medium, which was proved to be true for a few specific cases. Recently two different formulas for the

Satya N. Majumdar 1, Pierpaolo Vivo 1 Physical Review Letters 108 (2012) 200601 We compute analytically, for large $N$, the probability $\mathcal{P}(N_+,N)$ that a $N\times N$ Wishart random matrix has $N_+$ eigenvalues exceeding a threshold $N\zeta$, including its large deviation tails. This probability plays a benchmark role when performing the Principal Component Analysis of a large empirical dataset. We

Satya N. Majumdar 1, Mikhail V. Tamm 2 Physical Review E 86 (2012) 021135 We compute analytically the mean number of common sites, W_N(t), visited by N independent random walkers each of length t and all starting at the origin at t=0 in d dimensions. We show that in the (N-d) plane, there are three distinct regimes for the