Mon, 19 Jan 2026

15:30 - 16:30
L3

The Brownian marble

Prof. Andreas Kyprianou
(Dept of Mathematics University of Warwick)
Abstract

Fundamentally motivated by the two opposing phenomena of fragmentation and coalescence, we introduce a new stochastic object which is both a process and a geometry. The Brownian marble is built from coalescing Brownian motions on the real line, with further coalescing Brownian motions introduced through time in the gaps between yet to coalesce Brownian paths. The instantaneous rate at which we introduce more Brownian paths is given by λ/g2\lambda/g^2 where gg is the gap between two adjacent existing Brownian paths. We show that the process "comes down from infinity" when 0<λ<60<\lambda<6 and the resulting space-time graph of the process is a strict subset of the Brownian Web on R×[0,∞)\mathbb R \times [0,\infty). When λ≥6\lambda \geq 6, the resulting process "does not come down from infinity" and the resulting range of the process agrees with the Brownian Web.

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 Lamoureux, M Kruiswijk, K Vereecken, M de Wasseige, G Abbasi, R Ackermann, M Adams, J Agarwalla, S Aguilar, J Ahlers, M Alameddine, J Ali, S Amin, N Andeen, K Argüelles, C Ashida, Y Athanasiadou, S Axani, S Babu, R Bai, X Baines-Holmes, J Balagopal V, A Barwick, S Bash, S Basu, V Bay, R Beatty, J Becker Tjus, J Behrens, P Beise, J Bellenghi, C Benkel, B BenZvi, S Berley, D Bernardini, E Besson, D Blaufuss, E Bloom, L Blot, S Bodo, I Bontempo, F Book Motzkin, J Boscolo Meneguolo, C BOSER, S Botner, O Bottcher, J Braun, J Brinson, B Brisson-Tsavoussis, Z Burley, R Butterfield, D Campana, M Carloni, K Carpio, J Chattopadhyay, S Chau, T Chen, Z Chirkin, D Choi, S Clark, B Coleman, A Coleman, P Collin, G Coloma Borja, D Connolly, A Conrad, J Corley, R Cowen, D DE CLERCQ, C DeLaunay, J Delgado, D Delmeulle, T Deng, S Desiati, P de Vries, K DeYoung, T Diaz-Velez, J DiKerby, S Dittmer, M Domi, A Draper, L Dueser, L Durnford, D Dutta, K DuVernois, M Ehrhardt, T Eidenschink, L Eimer, A Eller, P Ellinger, E Elsässer, D Engel, R Erpenbeck, H Esmail, W Eulig, S Evans, J Evenson, P Fan, K Fang, K Farrag, K Fazely, A Fedynitch, A Feigl, N Finley, C Fischer, L Fox, D Franckowiak, A Fukami, S Furst, P Gallagher, J Ganster, E Garcia, A Garcia, M Garg, G Genton, E Gerhardt, L Ghadimi, A 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 Ha Minh, M Handt, M Hanson, K Hardin, J Harnisch, A Hatch, P Haungs, A Haussler, J Helbing, K Hellrung, J Henke, B Hennig, L Henningsen, F Heuermann, L Hewett, R Heyer, N Hickford, S Hidvegi, A Hill, C Hill, G Hmaid, R Hoffman, K Hooper, D Hori, S Hoshina, K Hostert, M Hou, W Huber, T Hultqvist, K Hymon, K Ishihara, A Iwakiri, W Jacquart, M Jain, S Janik, O Jansson, M Jeong, M Jin, M Kamp, N Kang, D Kang, W Kang, X Kappes, A Kardum, L Karg, T Karl, M Karle, A Katil, A Kauer, M Kelley, J Khanal, M Khatee Zathul, A Kheirandish, A KimKu, H Kiryluk, J Klein, C Klein, S Kobayashi, Y Kochocki, A Koirala, R Kolanoski, H Kontrimas, T Kopke, L Kopper, C Koskinen, J Koundal, P Kowalski, M Kozynets, T Krieger, N Jayakumar, K Krishnan, T Krupczak, E Kumar, A Kun, E Kurahashi, N Lad, N Lagunas Gualda, C Lallement Arnaud, L Larson, M Lauber, F Lazar, J Leonard DeHolton, K Leszczynska, A Liao, J Lin, C 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 Maris, I Marka, S Marka, Z Marten, L Martinez-Soler, I Maruyama, R Mauro, J Mayhew, F McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Merckx, Y Merten, L Mitchell, J Molchany, L Montaruli, T Moore, R Morii, Y Mosbrugger, A Moulai, M Mousadi, D Moyaux, E Mukherjee, T Naab, R Nakos, M Naumann, U Necker, J 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 Parenti, A Park, N Parrish, V Paudel, E Paul, L Pérez de los Heros, C Pernice, T Peterson, J Plum, M Ponten, A Poojyam, V Popovych, Y Prado 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 Reistroffer, I Resconi, E Reusch, S Rho, C Rhode, W Ricca, L Riedel, B Rifaie, A Roberts, E Robertson, S Rongen, M Rosted, A Rott, C Ruhe, T Ruohan, L Ryckbosch, D Saffer, J Salazar-Gallegos, D Sampathkumar, P Sandrock, A Sanger-Johnson, G Santander, M Sarkar, S Savelberg, J Scarnera, M Schaile, P Schaufel, M Schieler, H Schindler, S Schlickmann, L Schlüter, B Schlüter, F Schmeisser, N Schmidt, T Schröder, F Schumacher, L Schwirn, S Sclafani, S Seckel, D Seen, L Seikh, M Seunarine, S Sevle Myhr, P Shah, R Shefali, S N, S Skrzypek, B Snihur, R Soedingrekso, J Sogaard, A Soldin, D Soldin, P Sommani, G Spannfellner, C Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stezelberger, T Sturwald, T Stuttard, T Sullivan, G Taboada, I Ter-Antonyan, S Terliuk, A Thakuri, A Thiesmeyer, M Thompson, W Thwaites, J Tilav, S Tollefson, K Toscano, S Tosi, D Trettin, A Upadhyay, A Upshaw, K Vaidyanathan, A Valtonen-Mattila, N Valverde, J Vandenbroucke, J van Eeden, T van Eijndhoven, N van Rootselaar, L van Santen, J Vara Carbonell, F Varsi, F Venugopal, M Vergara Carrasco, S Verpoest, S Veske, D Vijai, A Villarreal, J Walck, C Wang, A Warrick, E 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 Yao, Y Yildizci, E Yoshida, S Young, R Yu, F Yu, S Yuan, T Zegarelli, A Zhang, S Zhang, Z Zhelnin, P Zilberman, P 947 (23 Sep 2025)
Results from IceCube Searches for High-Energy Neutrinos Coincident with Gravitational-Wave Alerts in LVK O4
 Marka, Z Thwaites, J Vandenbroucke, J Veske, D Abbasi, R Ackermann, M Adams, J Agarwalla, S Aguilar, J Ahlers, M Alameddine, J Ali, S Amin, N Andeen, K Argüelles, C Ashida, Y Athanasiadou, S Axani, S Babu, R Bai, X Baines-Holmes, J Balagopal V, A Barwick, S Bash, S Basu, V Bay, R Beatty, J Becker Tjus, J Behrens, P Beise, J Bellenghi, C Benkel, B BenZvi, S Berley, D Bernardini, E Besson, D Blaufuss, E Bloom, L Blot, S Bodo, I Bontempo, F Book Motzkin, J Boscolo Meneguolo, C BOSER, S Botner, O Bottcher, J Braun, J Brinson, B Brisson-Tsavoussis, Z Burley, R Butterfield, D Campana, M Carloni, K Carpio, J Chattopadhyay, S Chau, T Chen, Z Chirkin, D Choi, S Clark, B Coleman, A Coleman, P Collin, G Coloma Borja, D Connolly, A Conrad, J Corley, R Cowen, D DE CLERCQ, C DeLaunay, J Delgado, D Delmeulle, T Deng, S Desiati, P de Vries, K de Wasseige, G DeYoung, T Diaz-Velez, J DiKerby, S Dittmer, M Domi, A Draper, L Dueser, L Durnford, D Dutta, K DuVernois, M Ehrhardt, T Eidenschink, L Eimer, A Eller, P Ellinger, E Elsässer, D Engel, R Erpenbeck, H Esmail, W Eulig, S Evans, J Evenson, P Fan, K Fang, K Farrag, K Fazely, A Fedynitch, A Feigl, N Finley, C Fischer, L Fox, D Franckowiak, A Fukami, S Furst, P Gallagher, J Ganster, E Garcia, A Garcia, M Garg, G Genton, E Gerhardt, L Ghadimi, A 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 Ha Minh, M Handt, M Hanson, K Hardin, J Harnisch, A Hatch, P Haungs, A Haussler, J Helbing, K Hellrung, J Henke, B Hennig, L Henningsen, F Heuermann, L Hewett, R Heyer, N Hickford, S Hidvegi, A Hill, C Hill, G Hmaid, R Hoffman, K Hooper, D Hori, S Hoshina, K Hostert, M Hou, W Huber, T Hultqvist, K Hymon, K Ishihara, A Iwakiri, W Jacquart, M Jain, S Janik, O Jansson, M Jeong, M Jin, M Kamp, N Kang, D Kang, W Kang, X Kappes, A Kardum, L Karg, T Karl, M Karle, A Katil, A Kauer, M Kelley, J Khanal, M Khatee Zathul, A Kheirandish, A KimKu, H Kiryluk, J Klein, C Klein, S Kobayashi, Y Kochocki, A Koirala, R Kolanoski, H Kontrimas, T Kopke, L Kopper, C Koskinen, J Koundal, P Kowalski, M Kozynets, T Krieger, N Jayakumar, K Krishnan, T Kruiswijk, K Krupczak, E Kumar, A Kun, E Kurahashi, N Lad, N Lagunas Gualda, C Lallement Arnaud, L Lamoureux, M Larson, M Lauber, F Lazar, J Leonard DeHolton, K Leszczynska, A Liao, J Lin, C 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 Maris, I Marka, S Marten, L Martinez-Soler, I Maruyama, R Mauro, J Mayhew, F McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Merckx, Y Merten, L Mitchell, J Molchany, L Montaruli, T Moore, R Morii, Y Mosbrugger, A Moulai, M Mousadi, D Moyaux, E Mukherjee, T Naab, R Nakos, M Naumann, U Necker, J Neste, L Neumann, M Niederhausen, H Nisa, M Noda, K Noell, A Norrell, K Novikov, A Pollmann, A O'Dell, V Olivas, A Orsoe, R Osborn, J O'Sullivan, E Palusova, V Pandya, H Parenti, A Park, N Parrish, V Paudel, E Paul, L Pérez de los Heros, C Pernice, T Peterson, J Plum, M Ponten, A Poojyam, V Popovych, Y Prado 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 Reistroffer, I Resconi, E Reusch, S Rho, C Rhode, W Ricca, L Riedel, B Rifaie, A Roberts, E Robertson, S Romfoe, M Rongen, M Rosted, A Rott, C Ruhe, T Ruohan, L Ryckbosch, D Saffer, J Salazar-Gallegos, D Sampathkumar, P Sandrock, A Sanger-Johnson, G Santander, M Sarkar, S Savelberg, J Scarnera, M Schaile, P Schaufel, M Schieler, H Schindler, S Schlickmann, L Schlüter, B Schlüter, F Schmeisser, N Schmidt, T Schröder, F Schumacher, L Schwirn, S Sclafani, S Seckel, D Seen, L Seikh, M Seunarine, S Sevle Myhr, P Shah, R Shefali, S N, S Skrzypek, B Snihur, R Soedingrekso, J Sogaard, A Soldin, D Soldin, P Sommani, G Spannfellner, C Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stezelberger, T Sturwald, T Stuttard, T Sullivan, G Taboada, I Ter-Antonyan, S Terliuk, A Thakuri, A Thiesmeyer, M Thompson, W Tilav, S Tollefson, K Toscano, S Tosi, D Trettin, A Upadhyay, A Upshaw, K Vaidyanathan, A Valtonen-Mattila, N Valverde, J van Eeden, T van Eijndhoven, N van Rootselaar, L van Santen, J Vara Carbonell, F Varsi, F Venugopal, M Vereecken, M Vergara Carrasco, S Verpoest, S Vijai, A Villarreal, J Walck, C Wang, A Warrick, E 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 Yao, Y Yildizci, E Yoshida, S Young, R Yu, F Yu, S Yuan, T Zegarelli, A Zhang, A Zhang, S Zhang, Z Zhelnin, P Zilberman, P 1113 (24 Sep 2025)
A co-deployed dust-logging instrument for the IceCube Upgrade and IceCube-Gen2
 Eimer, A Rongen, M Abbasi, R Ackermann, M Adams, J Agarwalla, S Aguilar, J Ahlers, M Alameddine, J Ali, S Amin, N Andeen, K Argüelles, C Ashida, Y Athanasiadou, S Axani, S Babu, R Bai, X Baines-Holmes, J Balagopal V., A Barwick, S Bash, S Basu, V Bay, R Beatty, J Becker Tjus, J Behrens, P Beise, J Bellenghi, C Benkel, B BenZvi, S Berley, D Bernardini, E Besson, D Blaufuss, E Bloom, L Blot, S Bodo, I Bontempo, F Book Motzkin, J Boscolo Meneguolo, C BOSER, S Botner, O Bottcher, J Braun, J Brinson, B Brisson-Tsavoussis, Z Burley, R Butterfield, D Campana, M Carloni, K Carpio, J Chattopadhyay, S Chau, T Chen, Z Chirkin, D Choi, S Clark, B Coleman, A Coleman, P Collin, G Coloma Borja, D Connolly, A Conrad, J Corley, R Cowen, D DE CLERCQ, C DeLaunay, J Delgado, D Delmeulle, T Deng, S Desiati, P de Vries, K de Wasseige, G DeYoung, T Diaz-Velez, J DiKerby, S Dittmer, M Domi, A Draper, L Dueser, L Durnford, D Dutta, K DuVernois, M Ehrhardt, T Eidenschink, L Eller, P Ellinger, E Elsässer, D Engel, R Erpenbeck, H Esmail, W Eulig, S Evans, J Evenson, P Fan, K Fang, K Farrag, K Fazely, A Fedynitch, A Feigl, N Finley, C Fischer, L Fox, D Franckowiak, A Fukami, S Furst, P Gallagher, J Ganster, E Garcia, A Garcia, M Garg, G Genton, E Gerhardt, L Ghadimi, A 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 Ha Minh, M Handt, M Hanson, K Hardin, J Harnisch, A Hatch, P Haungs, A Haussler, J Helbing, K Hellrung, J Henke, B Hennig, L Henningsen, F Heuermann, L Hewett, R Heyer, N Hickford, S Hidvegi, A Hill, C Hill, G Hmaid, R Hoffman, K Hooper, D Hori, S Hoshina, K Hostert, M Hou, W Huber, T Hultqvist, K Hymon, K Ishihara, A Iwakiri, W Jacquart, M Jain, S Janik, O Jansson, M Jeong, M Jin, M Kamp, N Kang, D Kang, W Kang, X Kappes, A Kardum, L Karg, T Karl, M Karle, A Katil, A Kauer, M Kelley, J Khanal, M Khatee Zathul, A Kheirandish, A KimKu, H Kiryluk, J Klein, C Klein, S Kobayashi, Y Kochocki, A Koirala, R Kolanoski, H Kontrimas, T Kopke, L Kopper, C Koskinen, J Koundal, P Kowalski, M Kozynets, T Krieger, N Jayakumar, K Krishnan, T Kruiswijk, K Krupczak, E Kumar, A Kun, E Kurahashi, N Lad, N Lagunas Gualda, C Lallement Arnaud, L Lamoureux, M Larson, M Lauber, F Lazar, J Leonard DeHolton, K Leszczynska, A Liao, J Lin, C 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 Maris, I Marka, S Marka, Z Marten, L Martinez-Soler, I Maruyama, R Mauro, J Mayhew, F McNally, F Mead, J Meagher, K Mechbal, S Medina, A Meier, M Merckx, Y Merten, L Mitchell, J Molchany, L Montaruli, T Moore, R Morii, Y Mosbrugger, A Moulai, M Mousadi, D Moyaux, E Mukherjee, T Naab, R Nakos, M Naumann, U Necker, J 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 Parenti, A Park, N Parrish, V Paudel, E Paul, L Pérez de los Heros, C Pernice, T Peterson, J Plum, M Ponten, A Poojyam, V Popovych, Y Prado 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 Reistroffer, I Resconi, E Reusch, S Rho, C Rhode, W Ricca, L Riedel, B Rifaie, A Roberts, E Robertson, S Rosted, A Rott, C Ruhe, T Ruohan, L Ryckbosch, D Saffer, J Salazar-Gallegos, D Sampathkumar, P Sandrock, A Sanger-Johnson, G Santander, M Sarkar, S Savelberg, J Scarnera, M Schaile, P Schaufel, M Schieler, H Schindler, S Schlickmann, L Schlüter, B Schlüter, F Schmeisser, N Schmidt, T Schröder, F Schumacher, L Schwirn, S Sclafani, S Seckel, D Seen, L Seikh, M Seunarine, S Sevle Myhr, P Shah, R Shefali, S N, S Skrzypek, B Snihur, R Soedingrekso, J Sogaard, A Soldin, D Soldin, P Sommani, G Spannfellner, C Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stezelberger, T Sturwald, T Stuttard, T Sullivan, G Taboada, I Ter-Antonyan, S Terliuk, A Thakuri, A Thiesmeyer, M Thompson, W Thwaites, J Tilav, S Tollefson, K Toscano, S Tosi, D Trettin, A Upadhyay, A Upshaw, K Vaidyanathan, A Valtonen-Mattila, N Valverde, J Vandenbroucke, J van Eeden, T van Eijndhoven, N van Rootselaar, L van Santen, J Vara Carbonell, F Varsi, F Venugopal, M Vereecken, M Vergara Carrasco, S Verpoest, S Veske, D Vijai, A Villarreal, J Walck, C Wang, A Warrick, E 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 Yao, Y Yildizci, E Yoshida, S Young, R Yu, F Yu, S Yuan, T Zegarelli, A Zhang, S Zhang, Z Zhelnin, P Zilberman, P 1034 (24 Sep 2025)
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