Stochastic homogenization: Deterministic models of random environments

Homogenization theory aims to understand the properties of materials with complicated microstructures, such as those arising from flaws in a manufacturing process or from randomly deposited impurities. The goal is to identify an effective model that provides an accurate approximation of the original material. Oxford Mathematician Benjamin Fehrman discusses his research. 

"The practical considerations for identifying a simplified model are twofold:

The fluid mechanics of kidney stone removal

The discomfort experienced when a kidney stone passes through the ureter is often compared to the pain of childbirth. Severe pain can indicate that the stone is too large to naturally dislodge, and surgical intervention may be required. A ureteroscope is inserted into the ureter (passing first through the urethra and the bladder) in a procedure called ureteroscopy. Via a miniscule light and a camera on the scope tip, the patient’s ureter and kidney are viewed by a urologist.

Detection of the temporal variation of the Sun's cosmic ray shadow with
the IceCube detector
 Collaboration, I Aartsen, M Ackermann, M Adams, J Aguilar, J Ahlers, M Ahrens, M Altmann, D Andeen, K Anderson, T Ansseau, I Anton, G Argüelles, C Auffenberg, J Axani, S Backes, P Bagherpour, H Bai, X Barbano, A Barron, J Barwick, S Baum, V Bay, R Beatty, J Tjus, J Becker, K BenZvi, S Berley, D Bernardini, E Besson, D Binder, G Bindig, D Blaufuss, E Blot, S Bohm, C Börner, M Bos, F Böser, S Botner, O Bourbeau, E Bourbeau, J Bradascio, F Braun, J Bretz, H Bron, S Brostean-Kaiser, J Burgman, A Busse, R Carver, T Chen, C Cheung, E Chirkin, D Clark, K Classen, L Collin, G Conrad, J Coppin, P Correa, P Cowen, D Cross, R Dave, P Day, M André, J Clercq, C DeLaunay, J Dembinski, H Deoskar, K Ridder, S Desiati, P Vries, K Wasseige, G With, M DeYoung, T Díaz-Vélez, J Dujmovic, H Dunkman, M Dvorak, E Eberhardt, B Ehrhardt, T Eichmann, B Eller, P Evenson, P Fahey, S Fazely, A Felde, J Filimonov, K Finley, C Franckowiak, A Friedman, E Fritz, A Gaisser, T Gallagher, J Ganster, E Garrappa, S Gerhardt, L Ghorbani, K Giang, W Glauch, T Glüsenkamp, T Goldschmidt, A Gonzalez, J Grant, D Griffith, Z Haack, C Hallgren, A Halve, L Halzen, F Hanson, K Hebecker, D Heereman, D Helbing, K Hellauer, R Hickford, S Hignight, J Hill, G Hoffman, K Hoffmann, R Hoinka, T Hokanson-Fasig, B Hoshina, K Huang, F Huber, M Hultqvist, K Hünnefeld, M Hussain, R In, S Iovine, N Ishihara, A Jacobi, E Japaridze, G Jeong, M Jero, K Jones, B Kalaczynski, P Kang, W Kappes, A Kappesser, D Karg, T Karle, A Katz, U Kauer, M Keivani, A Kelley, J Kheirandish, A Kim, J Kintscher, T Kiryluk, J Kittler, T Klein, S Koirala, R Kolanoski, H Köpke, L Kopper, C Kopper, S Koskinen, D Kowalski, M Krings, K Kroll, M Krückl, G Kunwar, S Kurahashi, N Kyriacou, A Labare, M Lanfranchi, J Larson, M Lauber, F Leonard, K Leuermann, M Liu, Q Lohfink, E Mariscal, C Lu, L Lünemann, J Luszczak, W Madsen, J Maggi, G Mahn, K Makino, Y Mancina, S Mariş, I Maruyama, R Mase, K Maunu, R Meagher, K Medici, M Meier, M Menne, T Merino, G Meures, T Miarecki, S Micallef, J Momenté, G Montaruli, T Moore, R Moulai, M Nagai, R Nahnhauer, R Nakarmi, P Naumann, U Neer, G Niederhausen, H Nowicki, S Nygren, D Pollmann, A Olivas, A O'Murchadha, A O'Sullivan, E Palczewski, T Pandya, H Pankova, D Peiffer, P Pepper, J Heros, C Pieloth, D Pinat, E Pizzuto, A Plum, M Price, P Przybylski, G Raab, C Rameez, M Rauch, L Rawlins, K Rea, I Reimann, R Relethford, B Renzi, G Resconi, E Rhode, W Richman, M Robertson, S Rongen, M Rott, C Ruhe, T Ryckbosch, D Rysewyk, D Safa, I Herrera, S Sandrock, A Sandroos, J Santander, M Sarkar, S Satalecka, K Schaufel, M Schlunder, P Schmidt, T Schneider, A Schneider, J Schöneberg, S Schumacher, L Sclafani, S Seckel, D Seunarine, S Soedingrekso, J Soldin, D Song, M Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stasik, A Stein, R Stettner, J Steuer, A Stezelberger, T Stokstad, R Stößl, A Strotjohann, N Stuttard, T Sullivan, G Sutherland, M Taboada, I Tenholt, F Ter-Antonyan, S Terliuk, A Tilav, S Toale, P Tobin, M Tönnis, C Toscano, S Tosi, D Tselengidou, M Tung, C Turcati, A Turcotte, R Turley, C Ty, B Unger, E Elorrieta, M Usner, M Vandenbroucke, J Driessche, W Eijk, D Eijndhoven, N Vanheule, S Santen, J Vraeghe, M Walck, C Wallace, A Wallraff, M Wandler, F Wandkowsky, N Watson, T Weaver, C Weiss, M Wendt, C Werthebach, J Westerhoff, S Whelan, B Whitehorn, N Wiebe, K Wiebusch, C Wille, L Williams, D Wills, L Wolf, M Wood, J Wood, T Woolsey, E Woschnagg, K Wrede, G Xu, D Xu, X Xu, Y Yanez, J Yodh, G Yoshida, S Yuan, T Astrophysical Journal http://arxiv.org/abs/1811.02015v1
Search for steady point-like sources in the astrophysical muon neutrino
flux with 8 years of IceCube data
 Collaboration, I Aartsen, M Ackermann, M Adams, J Aguilar, J Ahlers, M Ahrens, M Altmann, D Andeen, K Anderson, T Ansseau, I Anton, G Argüelles, C Auffenberg, J Axani, S Backes, P Bagherpour, H Bai, X Barbano, A Barron, J Barwick, S Baum, V Bay, R Beatty, J Tjus, J Becker, K BenZvi, S Berley, D Bernardini, E Besson, D Binder, G Bindig, D Blaufuss, E Blot, S Bohm, C Börner, M Bos, F Böser, S Botner, O Bourbeau, E Bourbeau, J Bradascio, F Braun, J Bretz, H Bron, S Brostean-Kaiser, J Burgman, A Busse, R Carver, T Chen, C Cheung, E Chirkin, D Clark, K Classen, L Collin, G Conrad, J Coppin, P Correa, P Cowen, D Cross, R Dave, P Day, M André, J Clercq, C DeLaunay, J Dembinski, H Deoskar, K Ridder, S Desiati, P Vries, K Wasseige, G With, M DeYoung, T Díaz-Vélez, J Dujmovic, H Dunkman, M Dvorak, E Eberhardt, B Ehrhardt, T Eichmann, B Eller, P Evenson, P Fahey, S Fazely, A Felde, J Filimonov, K Finley, C Franckowiak, A Friedman, E Fritz, A Gaisser, T Gallagher, J Ganster, E Garrappa, S Gerhardt, L Ghorbani, K Giang, W Glauch, T Glüsenkamp, T Goldschmidt, A Gonzalez, J Grant, D Griffith, Z Haack, C Hallgren, A Halve, L Halzen, F Hanson, K Hebecker, D Heereman, D Helbing, K Hellauer, R Hickford, S Hignight, J Hill, G Hoffman, K Hoffmann, R Hoinka, T Hokanson-Fasig, B Hoshina, K Huang, F Huber, M Hultqvist, K Hünnefeld, M Hussain, R In, S Iovine, N Ishihara, A Jacobi, E Japaridze, G Jeong, M Jero, K Jones, B Kalaczynski, P Kang, W Kappes, A Kappesser, D Karg, T Karle, A Katz, U Kauer, M Keivani, A Kelley, J Kheirandish, A Kim, J Kintscher, T Kiryluk, J Kittler, T Klein, S Koirala, R Kolanoski, H Köpke, L Kopper, C Kopper, S Koskinen, D Kowalski, M Krings, K Kroll, M Krückl, G Kunwar, S Kurahashi, N Kyriacou, A Labare, M Lanfranchi, J Larson, M Lauber, F Leonard, K Leuermann, M Liu, Q Lohfink, E Mariscal, C Lu, L Lünemann, J Luszczak, W Madsen, J Maggi, G Mahn, K Makino, Y Mancina, S Mariş, I Maruyama, R Mase, K Maunu, R Meagher, K Medici, M Meier, M Menne, T Merino, G Meures, T Miarecki, S Micallef, J Momenté, G Montaruli, T Moore, R Moulai, M Nagai, R Nahnhauer, R Nakarmi, P Naumann, U Neer, G Niederhausen, H Nowicki, S Nygren, D Pollmann, A Olivas, A O'Murchadha, A O'Sullivan, E Palczewski, T Pandya, H Pankova, D Peiffer, P Heros, C Pieloth, D Pinat, E Pizzuto, A Plum, M Price, P Przybylski, G Raab, C Raissi, A Rameez, M Rauch, L Rawlins, K Rea, I Reimann, R Relethford, B Renzi, G Resconi, E Rhode, W Richman, M Robertson, S Rongen, M Rott, C Ruhe, T Ryckbosch, D Rysewyk, D Safa, I Herrera, S Sandrock, A Sandroos, J Santander, M Sarkar, S Satalecka, K Schaufel, M Schlunder, P Schmidt, T Schneider, A Schneider, J Schöneberg, S Schumacher, L Sclafani, S Seckel, D Seunarine, S Soedingrekso, J Soldin, D Song, M Spiczak, G Spiering, C Stachurska, J Stamatikos, M Stanev, T Stasik, A Stein, R Stettner, J Steuer, A Stezelberger, T Stokstad, R Stößl, A Strotjohann, N Stuttard, T Sullivan, G Sutherland, M Taboada, I Tenholt, F Ter-Antonyan, S Terliuk, A Tilav, S Tobin, M Tönnis, C Toscano, S Tosi, D Tselengidou, M Tung, C Turcati, A Turcotte, R Turley, C Ty, B Unger, E Elorrieta, M Usner, M Vandenbroucke, J Driessche, W Eijk, D Eijndhoven, N Vanheule, S Santen, J Vraeghe, M Walck, C Wallace, A Wallraff, M Wandler, F Wandkowsky, N Watson, T Weaver, C Weiss, M Wendt, C Werthebach, J Westerhoff, S Whelan, B Whitehorn, N Wiebe, K Wiebusch, C Wille, L Williams, D Wills, L Wolf, M Wood, J Wood, T Woolsey, E Woschnagg, K Wrede, G Xu, D Xu, X Xu, Y Yanez, J Yodh, G Yoshida, S Yuan, T European Physical Journal C: Particles and Fields http://arxiv.org/abs/1811.07979v1
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