Homework: Revision history

28 December 2023

• curprev 15:0315:03, 28 December 2023‎ Ros talk contribs‎ 5,865 bytes +146‎ →‎Problem H.2: Directed polymer on the Bethe Lattice: the replica calculation
• curprev 13:4713:47, 28 December 2023‎ Ros talk contribs‎ 5,719 bytes +274‎ →‎Problem H.2: Directed polymer on the Bethe Lattice: the replica calculation
• curprev 13:3713:37, 28 December 2023‎ Ros talk contribs‎ 5,445 bytes +11‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:3313:33, 28 December 2023‎ Ros talk contribs‎ 5,434 bytes −3‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:3313:33, 28 December 2023‎ Ros talk contribs‎ 5,437 bytes −1‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:3213:32, 28 December 2023‎ Ros talk contribs‎ 5,438 bytes −59‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:3113:31, 28 December 2023‎ Ros talk contribs‎ 5,497 bytes +38‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:3013:30, 28 December 2023‎ Ros talk contribs‎ 5,459 bytes +2‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:3013:30, 28 December 2023‎ Ros talk contribs‎ 5,457 bytes +9‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2913:29, 28 December 2023‎ Ros talk contribs‎ 5,448 bytes −1‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2813:28, 28 December 2023‎ Ros talk contribs‎ 5,449 bytes +6‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2813:28, 28 December 2023‎ Ros talk contribs‎ 5,443 bytes 0‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2813:28, 28 December 2023‎ Ros talk contribs‎ 5,443 bytes −1,380‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2713:27, 28 December 2023‎ Ros talk contribs‎ 6,823 bytes −14‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2613:26, 28 December 2023‎ Ros talk contribs‎ 6,837 bytes −16‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2613:26, 28 December 2023‎ Ros talk contribs‎ 6,853 bytes +22‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2613:26, 28 December 2023‎ Ros talk contribs‎ 6,831 bytes +14‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2513:25, 28 December 2023‎ Ros talk contribs‎ 6,817 bytes +5‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:2213:22, 28 December 2023‎ Ros talk contribs‎ 6,812 bytes +1,598‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:1913:19, 28 December 2023‎ Ros talk contribs‎ 5,214 bytes −2‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:1913:19, 28 December 2023‎ Ros talk contribs‎ 5,216 bytes +1‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:1813:18, 28 December 2023‎ Ros talk contribs‎ 5,215 bytes +87‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:1413:14, 28 December 2023‎ Ros talk contribs‎ 5,128 bytes +430‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:0513:05, 28 December 2023‎ Ros talk contribs‎ 4,698 bytes +33‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 13:0513:05, 28 December 2023‎ Ros talk contribs‎ 4,665 bytes +45‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:5012:50, 28 December 2023‎ Ros talk contribs‎ 4,620 bytes +104‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:4912:49, 28 December 2023‎ Ros talk contribs‎ 4,516 bytes +62‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:4812:48, 28 December 2023‎ Ros talk contribs‎ 4,454 bytes +12‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:4712:47, 28 December 2023‎ Ros talk contribs‎ 4,442 bytes +9‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:4712:47, 28 December 2023‎ Ros talk contribs‎ 4,433 bytes +192‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:4112:41, 28 December 2023‎ Ros talk contribs‎ 4,241 bytes +8‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:4112:41, 28 December 2023‎ Ros talk contribs‎ 4,233 bytes +424‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:2712:27, 28 December 2023‎ Ros talk contribs‎ 3,809 bytes −79‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 12:2612:26, 28 December 2023‎ Ros talk contribs‎ 3,888 bytes +134‎ No edit summary
• curprev 12:2112:21, 28 December 2023‎ Ros talk contribs‎ 3,754 bytes +308‎ No edit summary

27 December 2023

• curprev 21:4921:49, 27 December 2023‎ Ros talk contribs‎ 3,446 bytes −3‎ No edit summary
• curprev 21:4921:49, 27 December 2023‎ Ros talk contribs‎ 3,449 bytes +6‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 21:4821:48, 27 December 2023‎ Ros talk contribs‎ 3,443 bytes +400‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 21:4421:44, 27 December 2023‎ Ros talk contribs‎ 3,043 bytes +1‎ →‎Problem H.2: Directed polymer on the Bethe Lattice with replicas
• curprev 21:4321:43, 27 December 2023‎ Ros talk contribs‎ 3,042 bytes +181‎ No edit summary
• curprev 20:2020:20, 27 December 2023‎ Ros talk contribs‎ 2,861 bytes +53‎ No edit summary
• curprev 19:5319:53, 27 December 2023‎ Ros talk contribs‎ 2,808 bytes −4‎ →‎Problem H.1: freezing as a localization/condensation transition
• curprev 19:5219:52, 27 December 2023‎ Ros talk contribs‎ 2,812 bytes +68‎ No edit summary
• curprev 19:5119:51, 27 December 2023‎ Ros talk contribs‎ 2,744 bytes +231‎ →‎Problem H.1: freezing as a localization/condensation transition
• curprev 19:3919:39, 27 December 2023‎ Ros talk contribs‎ 2,513 bytes +2‎ →‎Problem H.1: freezing as a localization/condensation transition
• curprev 19:3919:39, 27 December 2023‎ Ros talk contribs‎ 2,511 bytes +17‎ →‎Problem H.1: freezing as a localization/condensation transition

24 December 2023

• curprev 19:5819:58, 24 December 2023‎ Ros talk contribs‎ 2,494 bytes +62‎ No edit summary

22 December 2023

• curprev 13:4013:40, 22 December 2023‎ Ros talk contribs‎ 2,432 bytes −7‎ →‎Problem H.1: freezing as a localization/condensation transition
• curprev 13:4013:40, 22 December 2023‎ Ros talk contribs‎ 2,439 bytes +3‎ →‎Homework: freezing as a localization/condensation transition

19 December 2023

• curprev 12:2812:28, 19 December 2023‎ Ros talk contribs‎ 2,436 bytes +2,436‎ 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..."