Mon, 17 Feb 2025
13:00
L6

Introduction to the membrane theory of entanglement dynamics

Jiang Hanzhi
Abstract

The time evolution of quantum matter systems toward their thermal equilibria, characterized by their entanglement entropy (EE), is a question that permeates many areas of modern physics. The dynamic of EE in generic chaotic many-body systems has an effective description in terms of a minimal membrane described by its membrane tension function. For strongly coupled systems with a gravity dual, the membrane tension can be obtained by projecting the bulk Hubeny-Rangamani-Ryu-Takayanagi (HRT) surfaces to the boundary along constant infalling time. In this talk, I will introduce the membrane theory of entanglement dynamics, its generalization to 2d CFT, as well as several applications. Based on arXiv: 1803.10244 and arXiv: 2411.16542.

Manifesto: challenging the standard cosmological model.
 Binney, J Mohayaee, R Peacock, J Sarkar, S Philosophical transactions. Series A, Mathematical, physical, and engineering sciences volume 383 issue 2290 20240036 (13 Feb 2025)
A search for extremely-high-energy neutrinos and first constraints on
the ultra-high-energy cosmic-ray proton fraction with IceCube
 Collaboration, I Abbasi, R Ackermann, M Adams, J Agarwalla, S Aguilar, J Ahlers, M Alameddine, J Amin, N Andeen, K Argüelles, C Ashida, Y Athanasiadou, S Axani, S Babu, R Bai, X V, A Baricevic, M Barwick, S Bash, S Basu, V Bay, R Beatty, J Tjus, J Beise, J Bellenghi, C BenZvi, S Berley, D Bernardini, E Besson, D Blaufuss, E Bloom, L Blot, S Bontempo, F Motzkin, J Meneguolo, C Böser, S Botner, O Böttcher, J Braun, J Brinson, B Brisson-Tsavoussis, Z Brostean-Kaiser, J Brusa, L Burley, R Butterfield, D Campana, M Caracas, I Carloni, K Carpio, J Chattopadhyay, S Chau, N Chen, Z Chirkin, D Choi, S Clark, B Coleman, A Coleman, P Collin, G Connolly, A Conrad, J Corley, R Cowen, D Clercq, C DeLaunay, J Delgado, D Deng, S Desai, A Desiati, P Vries, K Wasseige, G DeYoung, T Diaz, A Díaz-Vélez, J Dierichs, P Dittmer, M Domi, A Draper, L Dujmovic, H Durnford, D Dutta, K DuVernois, M Ehrhardt, T Eidenschink, L Eimer, A Eller, P Ellinger, E Mentawi, S Elsässer, D Engel, R Erpenbeck, H Esmail, W Evans, J Evenson, P Fan, K Fang, K Farrag, K Fazely, A Fedynitch, A Feigl, N Fiedlschuster, S Finley, C Fischer, L Fox, D Franckowiak, A Fukami, S Fürst, P Gallagher, J Ganster, E Garcia, A Garcia, M Garg, G Genton, E Gerhardt, L Ghadimi, A Girard-Carillo, C Glaser, C Glüsenkamp, T Gonzalez, J Goswami, S Granados, A Grant, D Gray, S Griffin, S Griswold, S Groth, K Guevel, D Günther, C Gutjahr, P Ha, C Haack, C Hallgren, A Halve, L Halzen, F Hamacher, L Hamdaoui, H Minh, M Handt, M Hanson, K Hardin, J Harnisch, A Hatch, P Haungs, A Häußler, J Helbing, K Hellrung, J Hermannsgabner, J Heuermann, L Heyer, N Hickford, S Hidvegi, A Hill, C Hill, G Hmaid, R Hoffman, K Hori, S Hoshina, K Hostert, M Hou, W Huber, T Hultqvist, K Hünnefeld, M Hussain, R Hymon, K Ishihara, A Iwakiri, W Jacquart, M Jain, S Janik, O Jansson, M Jeong, M Jin, M Jones, B Kamp, N Kang, D Kang, W Kang, X Kappes, A Kappesser, D Kardum, L Karg, T Karl, M Karle, A Katil, A Katz, U Kauer, M Kelley, J Khanal, M Zathul, A Kheirandish, A Kiryluk, J Klein, S Kobayashi, Y Kochocki, A Koirala, R Kolanoski, H Kontrimas, T Köpke, L Kopper, C Koskinen, D Koundal, P Kowalski, M Kozynets, T Krieger, N Krishnamoorthi, J Krishnan, T Kruiswijk, K Krupczak, E Kumar, A Kun, E Kurahashi, N Lad, N Gualda, C Lamoureux, M Larson, M Lauber, F Lazar, J DeHolton, K Leszczyńska, A Liao, J Lincetto, M Liu, Y Liubarska, M Love, C Lu, L Lucarelli, F Luszczak, W Lyu, Y Madsen, J Magnus, E Mahn, K Makino, Y Manao, E Mancina, S Mand, A Sainte, W Mariş, I Marka, S Marka, Z Marsee, M Martinez-Soler, I Maruyama, R Mayhew, F McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Merckx, Y Merten, L Mitchell, J Montaruli, T Moore, R Morii, Y Morse, R Moulai, M Mukherjee, T Naab, R Nakos, M Naumann, U Necker, J Negi, A Neste, L Neumann, M Niederhausen, H Nisa, M Noda, K Noell, A Novikov, A Pollmann, A O'Dell, V Olivas, A Orsoe, R Osborn, J O'Sullivan, E Palusova, V Pandya, H Park, N Parker, G Parrish, V Paudel, E Paul, L Heros, C Pernice, T Peterson, J Pizzuto, A Plum, M Pontén, A Popovych, Y Rodriguez, M Pries, B Procter-Murphy, R Przybylski, G Pyras, L Raab, C Rack-Helleis, J Rad, N Ravn, M Rawlins, K Rechav, Z Rehman, A Resconi, E Reusch, S Rhode, W Riedel, B Rifaie, A Roberts, E Robertson, S Rodan, S Rongen, M Rosted, A Rott, C Ruhe, T Ruohan, L Safa, I Saffer, J Salazar-Gallegos, D Sampathkumar, P Sandrock, A Santander, M Sarkar, S Savelberg, J Savina, P Schaile, P Schaufel, M Schieler, H Schindler, S Schlickmann, L Schlüter, B Schlüter, F Schmeisser, N Schmidt, T Schneider, J Schröder, F Schumacher, L Schwirn, S Sclafani, S Seckel, D Seen, L Seikh, M Seo, M Seunarine, S Myhr, P Shah, R Shefali, S Shimizu, N Silva, M Skrzypek, B Smithers, B Snihur, R Soedingrekso, J Søgaard, A Soldin, D Soldin, P Sommani, G Spannfellner, C Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stezelberger, T Stürwald, T Stuttard, T Sullivan, G Taboada, I Ter-Antonyan, S Terliuk, A Thiesmeyer, M Thompson, W Thwaites, J Tilav, S Tollefson, K Tönnis, C Toscano, S Tosi, D Trettin, A Elorrieta, M Upadhyay, A Upshaw, K Vaidyanathan, A Valtonen-Mattila, N Vandenbroucke, J Eijndhoven, N Vannerom, D Santen, J Vara, J Varsi, F Veitch-Michaelis, J Venugopal, M Vereecken, M Carrasco, S Verpoest, S Veske, D Vijai, A Walck, C Wang, A Weaver, C Weigel, P Weindl, A Weldert, J Wen, A Wendt, C Werthebach, J Weyrauch, M Whitehorn, N Wiebusch, C Williams, D Witthaus, L Wolf, M Wrede, G Xu, X Yanez, J Yildizci, E Yoshida, S Young, R Yu, F Yu, S Yuan, T Zegarelli, A Zhang, S Zhang, Z Zhelnin, P Zilberman, P Zimmerman, M (04 Feb 2025) http://arxiv.org/abs/2502.01963v1
VERITAS and multiwavelength observations of the Blazar B3 2247+381 in
response to an IceCube neutrino alert
 Acharyya, A Adams, C Bangale, P Bartkoske, J Benbow, W Buckley, J Chen, Y Christiansen, J Chromey, A Duerr, A Errando, M Godoy, M Falcone, A Feng, Q Foote, J Fortson, L Furniss, A Hanlon, W Hanna, D Hervet, O Hinrichs, C Holder, J Humensky, T Jin, W Johnson, M Kaaret, P Kertzman, M Kherlakian, M Kieda, D Kleiner, T Korzoun, M Krennrich, F Kumar, S Lang, M Lundy, M McGrath, C Meyer, E Millard, M Millis, J Mooney, C Moriarty, P Mukherjee, R Ning, W O'Brien, S Ong, R Pohl, M Pueschel, E Quinn, J Rabinowitz, P Ragan, K Reynolds, P Ribeiro, D Roache, E Ryan, J Sadeh, I Sadun, A Saha, L Santander, M Sembroski, G Shang, R Splettstoesser, M Tak, D Talluri, A Tucci, J Valverde, J Williams, D Wong, S Woo, J Abbasi, R Ackermann, M Adams, J Agarwalla, S Aguilar, J Ahlers, M Alameddine, J Amin, N Andeen, K Argüelles, C Ashida, Y Athanasiadou, S Axani, S Babu, R Bai, X V, A Baricevic, M Barwick, S Bash, S Basu, V Bay, R Beatty, J Tjus, J Beise, J Bellenghi, C BenZvi, S Berley, D Bernardini, E Besson, D Blaufuss, E Bloom, L Blot, S Bontempo, F Motzkin, J Meneguolo, C Böser, S Botner, O Böttcher, J Braun, J Brinson, B Brisson-Tsavoussis, Z Brostean-Kaiser, J Brusa, L Burley, R Butterfield, D Campana, M Caracas, I Carloni, K Carpio, J Chattopadhyay, S Chau, N Chen, Z Chirkin, D Choi, S Clark, B Coleman, A Coleman, P Collin, G Connolly, A Conrad, J Corley, R Cowen, D Clercq, C DeLaunay, J Delgado, D Deng, S Desai, A Desiati, P Vries, K Wasseige, G DeYoung, T Diaz, A Díaz-Vélez, J Dierichs, P Dittmer, M Domi, A Draper, L Dujmovic, H Durnford, D Dutta, K DuVernois, M Ehrhardt, T Eidenschink, L Eimer, A Eller, P Ellinger, E Mentawi, S Elsässer, D Engel, R Erpenbeck, H Esmail, W Evans, J Evenson, P Fan, K Fang, K Farrag, K Fazely, A Fedynitch, A Feigl, N Fiedlschuster, S Finley, C Fischer, L Fox, D Franckowiak, A Fukami, S Fürst, P Gallagher, J Ganster, E Garcia, A Garcia, M Garg, G Genton, E Gerhardt, L Ghadimi, A Girard-Carillo, C Glaser, C Glüsenkamp, T Gonzalez, J Goswami, S Granados, A Grant, D Gray, S Griffin, S Griswold, S Groth, K Guevel, D Günther, C Gutjahr, P Ha, C Haack, C Hallgren, A Halve, L Halzen, F Hamacher, L Hamdaoui, H Minh, M Handt, M Hanson, K Hardin, J Harnisch, A Hatch, P Haungs, A Häußler, J Helbing, K Hellrung, J Hermannsgabner, J Heuermann, L Heyer, N Hickford, S Hidvegi, A Hill, C Hill, G Hmaid, R Hoffman, K Hori, S Hoshina, K Hostert, M Hou, W Huber, T Hultqvist, K Hünnefeld, M Hussain, R Hymon, K Ishihara, A Iwakiri, W Jacquart, M Jain, S Janik, O Jansson, M Jeong, M Jin, M Jones, B Kamp, N Kang, D Kang, W Kang, X Kappes, A Kappesser, D Kardum, L Karg, T Karl, M Karle, A Katil, A Katz, U Kauer, M Kelley, J Khanal, M Zathul, A Kheirandish, A Kiryluk, J Klein, S Kobayashi, Y Kochocki, A Koirala, R Kolanoski, H Kontrimas, T Köpke, L Kopper, C Koskinen, D Koundal, P Kowalski, M Kozynets, T Krieger, N Krishnamoorthi, J Krishnan, T Kruiswijk, K Krupczak, E Kumar, A Kun, E Kurahashi, N Lad, N Gualda, C Lamoureux, M Larson, M Lauber, F Lazar, J DeHolton, K Leszczyńska, A Liao, J Lincetto, M Liu, Y Liubarska, M Love, C Lu, L Lucarelli, F Luszczak, W Lyu, Y Madsen, J Magnus, E Mahn, K Makino, Y Manao, E Mancina, S Mand, A Sainte, W Mariş, I Marka, S Marka, Z Marsee, M Martinez-Soler, I Maruyama, R Mayhew, F McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Merckx, Y Merten, L Mitchell, J Montaruli, T Moore, R Morii, Y Morse, R Moulai, M Mukherjee, T Naab, R Nakos, M Naumann, U Necker, J Negi, A Neste, L Neumann, M Niederhausen, H Nisa, M Noda, K Noell, A Novikov, A Pollmann, A O'Dell, V Olivas, A Orsoe, R Osborn, J O'Sullivan, E Palusova, V Pandya, H Park, N Parker, G Parrish, V Paudel, E Paul, L Heros, C Pernice, T Peterson, J Pizzuto, A Plum, M Pontén, A Popovych, Y Rodriguez, M Pries, B Procter-Murphy, R Przybylski, G Pyras, L Raab, C Rack-Helleis, J Rad, N Ravn, M Rawlins, K Rechav, Z Rehman, A Resconi, E Reusch, S Rhode, W Riedel, B Rifaie, A Roberts, E Robertson, S Rodan, S Rongen, M Rosted, A Rott, C Ruhe, T Ruohan, L Safa, I Saffer, J Salazar-Gallegos, D Sampathkumar, P Sandrock, A Sarkar, S Savelberg, J Savina, P Schaile, P Schaufel, M Schieler, H Schindler, S Schlickmann, L Schlüter, B Schlüter, F Schmeisser, N Schmidt, T Schneider, J Schröder, F Schumacher, L Schwirn, S Sclafani, S Seckel, D Seen, L Seikh, M Seo, M Seunarine, S Myhr, P Shah, R Shefali, S Shimizu, N Silva, M Skrzypek, B Smithers, B Snihur, R Soedingrekso, J Søgaard, A Soldin, D Soldin, P Sommani, G Spannfellner, C Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stezelberger, T Stürwald, T Stuttard, T Sullivan, G Taboada, I Ter-Antonyan, S Terliuk, A Thiesmeyer, M Thompson, W Thwaites, J Tilav, S Tollefson, K Tönnis, C Toscano, S Tosi, D Trettin, A Elorrieta, M Upadhyay, A Upshaw, K Vaidyanathan, A Valtonen-Mattila, N Vandenbroucke, J Eijndhoven, N Vannerom, D Santen, J Vara, J Varsi, F Veitch-Michaelis, J Venugopal, M Vereecken, M Carrasco, S Verpoest, S Veske, D Vijai, A Walck, C Wang, A Weaver, C Weigel, P Weindl, A Weldert, J Wen, A Wendt, C Werthebach, J Weyrauch, M Whitehorn, N Wiebusch, C Witthaus, L Wolf, M Wrede, G Xu, X Yanez, J Yildizci, E Yoshida, S Young, R Yu, F Yu, S Yuan, T Zegarelli, A Zhang, S Zhang, Z Zhelnin, P Zilberman, P Zimmerman, M Drake, P Spira-Savett, E Lusen, P Mori, K (06 Feb 2025) http://arxiv.org/abs/2502.03853v1
Algorithmic Collusion and a Folk Theorem from Learning with Bounded Rationality
 Cartea, Á Chang, P Penalva, J Waldon, H
Nash Equilibrium between Brokers and Traders
 Cartea, Á Jaimungal, S Sánchez-Betancourt, L (15 Jul 2024)
Strategic Bonding Curves in Automated Market Makers
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Fri, 07 Mar 2025
15:00
L4

Central limit theorems and the smoothed bootstrap in topological data analysis

Johannes Krebs
(Katholische Universitat Eichstätt-Ingolstadt)

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Abstract
We study central limit theorems for persistent Betti numbers and the Euler characteristic of random simplicial complexes built from Poisson and Binomial processes in the critical regime. The approach relies on the idea of stabilizing functionals and dates back to Kesten and Lee (1996) as well as Penrose and Yukich (2001).
However, in many situations such limit theorems prove difficult to use in practice, motivating the use of a bootstrap approach, a resampling technique in mathematical statistics. To this end, we investigate multivariate bootstrap procedures for general stabilizing statistics with a specific focus on the application to topological data analysis. We show that a smoothed bootstrap procedure gives a consistent estimation. Specific statistics considered for the bootstrap include persistent Betti numbers and Euler characteristics of Čech and Vietoris-Rips complexes.
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