| Publication | Date of Publication | Type |
|---|
| Solving non-linear Kolmogorov equations in large dimensions by using deep learning: a numerical comparison of discretization schemes | 2022-12-28 | Paper |
| The adaptive interpolation method for proving replica formulas. Applications to the Curie–Weiss and Wigner spike models | 2022-12-09 | Paper |
| Information theoretic limits of learning a sparse rule | 2022-05-23 | Paper |
| Mutual information for low-rank even-order symmetric tensor estimation | 2022-02-22 | Paper |
| Statistical limits of dictionary learning: random matrix theory and the spectral replica method | 2021-09-14 | Paper |
| Adaptive Path Interpolation Method for Sparse Systems: Application to a Censored Block Model | 2021-07-22 | Paper |
| Rank-one matrix estimation: analytic time evolution of gradient descent dynamics | 2021-05-25 | Paper |
| Entropy and mutual information in models of deep neural networks* | 2021-03-16 | Paper |
| The committee machine: computational to statistical gaps in learning a two-layers neural network | 2021-03-16 | Paper |
| Mutual Information and Optimality of Approximate Message-Passing in Random Linear Estimation | 2020-09-29 | Paper |
| Concentration of multi-overlaps for random dilute ferromagnetic spin models | 2020-08-25 | Paper |
| All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation | 2020-06-14 | Paper |
| High-dimensional rank-one nonsymmetric matrix decomposition: the spherical case | 2020-04-15 | Paper |
| Universal Sparse Superposition Codes With Spatial Coupling and GAMP Decoding | 2020-01-28 | Paper |
| 0-1 phase transitions in sparse spiked matrix estimation | 2019-11-12 | Paper |
| The adaptive interpolation method: a simple scheme to prove replica formulas in Bayesian inference | 2019-07-17 | Paper |
| Optimal errors and phase transitions in high-dimensional generalized linear models | 2019-07-03 | Paper |
| Mutual Information for the Stochastic Block Model by the Adaptive Interpolation Method | 2019-02-19 | Paper |
| The adaptive interpolation method for proving replica formulas. Applications to the Curie-Weiss and Wigner spike models | 2019-01-19 | Paper |
| Displacement Convexity in Spatially Coupled Scalar Recursions | 2019-01-18 | Paper |
| The Velocity of the Propagating Wave for Spatially Coupled Systems With Applications to LDPC Codes | 2018-12-04 | Paper |
| Adaptive Path Interpolation for Sparse Systems: Application to a Simple Censored Block Model | 2018-06-13 | Paper |
| The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices | 2018-02-25 | Paper |
| The Layered Structure of Tensor Estimation and its Mutual Information | 2017-09-29 | Paper |
| Sharp Bounds for Optimal Decoding of Low-Density Parity-Check Codes | 2017-08-08 | Paper |
| Tight Bounds on the Capacity of Binary Input Random CDMA Systems | 2017-07-27 | Paper |
| Threshold Saturation for Spatially Coupled LDPC and LDGM Codes on BMS Channels | 2017-05-02 | Paper |
| Spatial Coupling as a Proof Technique and Three Applications | 2017-04-28 | Paper |
| The Bethe Free Energy Allows to Compute the Conditional Entropy of Graphical Code Instances: A Proof From the Polymer Expansion | 2017-04-28 | Paper |
| Approaching the Rate-Distortion Limit With Spatial Coupling, Belief Propagation, and Decimation | 2017-04-28 | Paper |
| The Mutual Information in Random Linear Estimation | 2016-07-08 | Paper |
| Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula | 2016-06-13 | Paper |
| Threshold saturation in spatially coupled constraint satisfaction problems | 2013-05-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2913742 | 2012-09-27 | Paper |
| Beyond the Bethe Free Energy of LDPC Codes via Polymer Expansions | 2012-02-13 | Paper |
| Polymer Expansions for Cycle LDPC Codes | 2012-02-13 | Paper |
| Decay of Correlations for Sparse Graph Error Correcting Codes | 2011-10-27 | Paper |
| Exact solution of the gauge symmetric \(p\)-spin glass model on a complete graph | 2009-09-22 | Paper |
| Griffith–Kelly–Sherman Correlation Inequalities: A Useful Tool in the Theory of Error Correcting Codes | 2008-12-21 | Paper |
| Sharp Bounds on Generalized EXIT Functions | 2008-12-21 | Paper |
| Percolation in the signal to interference ratio graph | 2006-11-16 | Paper |
| Extended edge states in finite Hall systems | 2004-12-14 | Paper |
| Bargmann representation for Landau levels in two dimensions | 2004-06-10 | Paper |
| Projection on higher Landau levels and non-commutative geometry | 2004-06-09 | Paper |
| Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems | 2004-06-09 | Paper |
| Spectral flow and level spacing of edge states for quantum Hall Hamiltonians | 2004-06-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4325892 | 2003-05-20 | Paper |
| Long-range orders in models of itinerant electrons interacting with heavy quantum fields | 2002-02-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2754380 | 2001-11-11 | Paper |
| Coexistence of long-range order for two observables at finite temperatures | 2001-07-03 | Paper |
| On edge states in semi-infinite quantum Hall systems | 2001-05-17 | Paper |
| Ground states and flux configurations of the two-dimensional Falicov-Kimball model | 2001-01-18 | Paper |
| On the flux phase conjecture at half-filling: An improved proof | 2000-06-06 | Paper |
| Ionization equilibrium in the electron-proton gas. | 2000-02-02 | Paper |
| Ground states and low-temperature phases of itinerant electrons interacting with classical fields: A review of rigorous results | 1998-03-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4339988 | 1997-07-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5285250 | 1997-07-20 | Paper |
| An alternative formula for the number of Euler trails for a class of digraphs | 1996-07-18 | Paper |
| LONG RANGE ORDER IN THE FALICOV-KIMBALL MODEL: EXTENSION OF KENNEDY–LIEB THEOREM | 1996-07-18 | Paper |
| Low-temperature phases of itinerant fermions interacting with classical phonons: The static Holstein model | 1996-03-18 | Paper |
| A remark on the decay of superconducting correlations in one- and two- dimensional Hubbard models | 1996-01-08 | Paper |
| Atomic versus ionized states in many-particle systems and the spectra of reduced density matrices: A model study | 1994-09-01 | Paper |
| Long-range order in a simple model of interacting fermions | 1994-01-13 | Paper |
| Density of states of random Schrödinger operators with a uniform magnetic field | 1992-11-12 | Paper |
| Diamagnetic currents | 1988-01-01 | Paper |
