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23:49, 12 January 2024 Ros talk contribs created page T-7 (Created page with " - model on the be the lattice - self energy -criterion for localization - links to ergo breaking")
22:45, 12 January 2024 Ros talk contribs created page File:TD6 solutions.pdf
22:45, 12 January 2024 Ros talk contribs uploaded File:TD6 solutions.pdf
22:21, 12 January 2024 Ros talk contribs created page File:Trap.png
22:21, 12 January 2024 Ros talk contribs uploaded File:Trap.png
23:03, 10 January 2024 Ros talk contribs created page T-6 (Created page with "Goal: Key concepts: gradient descent, rugged landscapes, metastable states, Hessian matrices, random matrix theory, landscape’s complexity. === Langevin, Activation ===")
16:48, 5 January 2024 Ros talk contribs created page File:TD4 Solutions.pdf
16:48, 5 January 2024 Ros talk contribs uploaded File:TD4 Solutions.pdf
16:35, 5 January 2024 Ros talk contribs created page File:Homeworks2.pdf
16:35, 5 January 2024 Ros talk contribs uploaded File:Homeworks2.pdf
16:34, 5 January 2024 Ros talk contribs created page File:Homeworks1.pdf
16:34, 5 January 2024 Ros talk contribs uploaded File:Homeworks1.pdf
16:23, 5 January 2024 Ros talk contribs created page File:Parisi - OrderParameter.pdf
16:23, 5 January 2024 Ros talk contribs uploaded File:Parisi - OrderParameter.pdf
15:37, 5 January 2024 Ros talk contribs created page File:TD5 Solutions.pdf
15:37, 5 January 2024 Ros talk contribs uploaded File:TD5 Solutions.pdf
15:34, 5 January 2024 Ros talk contribs created page File:TD3 Solutions.pdf
15:34, 5 January 2024 Ros talk contribs uploaded File:TD3 Solutions.pdf
15:29, 5 January 2024 Ros talk contribs uploaded File:TD2 Solutions.pdf
15:29, 5 January 2024 Ros talk contribs created page File:TD2 Solutions.pdf
14:38, 5 January 2024 Ros talk contribs created page File:TD1 - REM - Solutions.pdf
14:38, 5 January 2024 Ros talk contribs uploaded File:TD1 - REM - Solutions.pdf
14:13, 5 January 2024 Ros talk contribs created page File:Landscapes-GDD.png
14:13, 5 January 2024 Ros talk contribs uploaded File:Landscapes-GDD.png
18:50, 4 January 2024 Ros talk contribs uploaded a new version of File:Entropy REM.png
17:48, 3 January 2024 Rosso talk contribs created page L-4 (Created page with " Goal 1: final lecture on KPZ and directed polymers at finite dimension. We will show that for <math>d>2</math> a "glass transition" takes place. Goal 2: We will mention some ideas related to glass transition in true glasses. =Part 1: KPZ in finite dimension= * In <math>d=1</math> we found <math>\theta=1/3</math> and a glassy regime present at all temperatures. Moreover, the stationary solution tell us that <math>E_{\min}[x]</math>...")
19:22, 1 January 2024 Rosso talk contribs created page File:SketchDPRM.png
19:22, 1 January 2024 Rosso talk contribs uploaded File:SketchDPRM.png
00:35, 29 December 2023 Ros talk contribs created page T-5 (Created page with "Goal: So far we have discussed the equilibrium properties of disordered systems, that are encoded in their partition function and free energy. In this set of problems, we characterize the energy landscape of a prototypical model, the spherical <math>p<math/>-spin. Key concepts: metastable states,")
15:34, 28 December 2023 Ros talk contribs created page File:Bethe 1RSB.png
15:34, 28 December 2023 Ros talk contribs uploaded File:Bethe 1RSB.png
15:34, 28 December 2023 Ros talk contribs uploaded File:Bethe.png
15:34, 28 December 2023 Ros talk contribs created page File:Bethe.png
12:48, 28 December 2023 Rosso talk contribs created page L-3 (Created page with "Goal: This lecture is dedicated to a classical model in disordered systems: the directed polymer in random media. It has been introduced to model vortices in superconductur or domain wall in magnetic film. We will focus here on the algorithms that identify the ground state or compute the free energy at temperature T, as well as, on the Cole-Hopf transformation that map this model on the KPZ equation. =Polymers, interfaces and manifolds in random media=")
21:10, 26 December 2023 Ros talk contribs created page File:Entropy REM.png
21:10, 26 December 2023 Ros talk contribs uploaded File:Entropy REM.png
20:32, 26 December 2023 Rosso talk contribs created page L-2 (Created page with "# Interface Growth")
16:40, 26 December 2023 Ros talk contribs created page File:Suscept-experiment.png
16:40, 26 December 2023 Ros talk contribs uploaded File:Suscept-experiment.png
23:59, 22 December 2023 Ros talk contribs created page T-4 (Created page with "1) full RSB 2) susceptibilities")
13:35, 22 December 2023 Ros talk contribs created page T-3 (Created page with "Goal of these problems: In this set of problems, we compute the free energy of the spherical <math>p</math>-spin model in the Replica Symmetric (RS) framework, and in the 1-step Replica Symmetry Broken (1-RSB) framework. Key concepts: === The order parameters: overlaps, and their meaning === In the lectures, we have introduced the Edwards-Anderson order parameter <center> <math> q_{EA}=\frac{1}{N}\sum_i \overline{\langle...")
12:28, 19 December 2023 Ros talk contribs created page Homework (Created page with " === Homework: freezing as a localization/condensation transition === In this final exercise, we show how the freezing transition can be understood in terms of extreme valued statistics (discussed in the lecture) and localization. We consider the energies of the configurations and define <math> E_\alpha= - N \sqrt{\log 2} + \delta E_\alpha </math>, so that <center><math> {Z} = e^{ \beta N \sqrt{\log 2} }\sum_{\alpha=1}^{2^N} e^{-\beta \delta E_\alpha}= e^{ \beta N \sqrt...")
12:21, 19 December 2023 Ros talk contribs created page T-II-3 (Created page with "=== Problem 3: the RS (Replica Symmetric) calculation===  Let us consider the simple...")
16:58, 6 December 2023 Ros talk contribs created page T-2 (Created page with "In this set of problems, we use the replica method to study the equilibrium properties of a prototypical toy model of glasses, the spherical <math>p</math>-spin model. === Problem 1: the energy landscape of the REM === In this exercise we study the number <math> \mathcal{N}(E)dE </math> of configurations having energy <math> E_\alpha \in [E, E+dE] </math>. This quantity is a random variable. For large <math> N </math>, we will show that its typical value ...")
16:59, 24 November 2023 Ros talk contribs created page T-I (Created page with "=== The landscape === To characterize the energy landscape of the REM, we can determine the number <math> \mathcal{N}(E)dE </math> of configurations having energy <math> E_\alpha \in [E, E+dE] </math>. This quantity is a random variable. For large <math> N </math>, its typical value is given by <center><math> \mathcal{N}(E) = e^{N \Sigma\left( \frac{E}{N}\right) + o(N)}, \quad \quad \Sigma(\epsilon) = \begin{cases} \log 2- \epsilon^2 \quad &\text{ if } |\epsilon| \...")
13:12, 30 October 2023 Ros talk contribs created page L-1 (Created page with "djdjjnr")
13:11, 30 October 2023 Ros talk contribs created page T-I-1 (Created page with "Ciao")
10:18, 25 September 2023 User account Ros talk contribs was created by Lptmswikids talk contribs and password was sent by email
10:14, 25 September 2023 User account Rosso talk contribs was created by Lptmswikids talk contribs and password was sent by email
10:01, 25 September 2023 User account Zhiqiang talk contribs was created by Lptmswikids talk contribs and password was sent by email

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