TK
Tuomo Kuusi
math.APmath.PRmath.MPmath-phcs.NAmath.NA
On Valency
published · living versionsW_wk7jdxgs·v1 · currentpublished
Preprints & journals
39 papers in the corpus · 2010–2026Coarse ellipticity and De Giorgi-Nash-Moser theory in the optimal range2610.11879v1 · Scott Armstrong, Benny Avelin, Tuomo Kuusi et al.2026 · 0 citationsarXiv
Anomalous scaling limit of a Brownian particle in a log-correlated potential2610.12335v1 · Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi2026 · 0 citationsarXiv
Homogenization at a polynomial scale in high contrast2609.27647v1 · Scott Armstrong, Tuomo Kuusi, Am'elie Loher2026 · 0 citationsarXiv
Superdiffusion and anomalous regularization in self-similar random incompressible flows2601.22142v2 · Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi2026 · 0 citationsarXiv
Coarse-grained ellipticity and De Giorgi-Nash-Moser theory2601.05690v1 · Scott Armstrong, Benny Avelin, Cristiana De Filippis et al.2026 · 0 citationsarXiv
A coarse-graining theory for elliptic operators and homogenization in high contrast2509.24887v1 · Scott Armstrong, Tuomo Kuusi2025 · 0 citationsarXiv
Renormalized stochastic pressure equation with log-correlated Gaussian coefficients2405.17195v3 · Benny Avelin, Tuomo Kuusi, Patrik Nummi et al.2024 · 2 citationsJournal of Differential Equations 439 (2025) 113416
Renormalization group and elliptic homogenization in high contrast2405.10732v3 · Scott Armstrong, Tuomo Kuusi2024 · 2 citationsarXiv
Superdiffusive central limit theorem for a Brownian particle in a critically-correlated incompressible random drift2404.01115v3 · Scott Armstrong, Ahmed Bou-Rabee, Tuomo Kuusi2024 · 0 citationsarXiv
1D stochastic pressure equation with log-correlated Gaussian coefficients2402.09127v2 · Benny Avelin, Tuomo Kuusi, Patrik Nummi et al.2024 · 1 citationStochastic Processes and their Applications 192 (2026) 104808
Quantitative Homogenization for the Obstacle Problem and Its Free Boundary.39165507 · Aleksanyan, Gohar, Kuusi, Tuomo2024 · 1 citationArchive for rational mechanics and analysis. 2024;248(5):71
Gradient regularity and first-order potential estimates for a class of nonlocal equations2212.01950v2 · Tuomo Kuusi, Simon Nowak, Yannick Sire2022 · 2 citationsarXiv
Elliptic homogenization from qualitative to quantitative2210.06488v2 · Scott Armstrong, Tuomo Kuusi2022 · 2 citationsarXiv
Optimal unique continuation for periodic elliptic equations on large scales2107.14248v1 · Scott Armstrong, Tuomo Kuusi, Charles Smart2021 · 1 citationarXiv
Regularity estimates for the p-Sobolev flow2103.15259v1 · Tuomo Kuusi, Masashi Misawa, Kenta Nakamura2021 · 13 citationsJ. Geom. Anal. 30 (2020), no. 2, 1918--1964
Global existence for the p-Sobolev flow2103.15817v1 · Tuomo Kuusi, Masashi Misawa, Kenta Nakamura2021 · 12 citationsJ. Differential Equations 279 (2021), 245--281
Large-scale analyticity and unique continuation for periodic elliptic equations2005.01199v1 · Scott Armstrong, Tuomo Kuusi, Charles Smart2020 · 13 citationsarXiv
Homogenization, linearization and large-scale regularity for nonlinear elliptic equations1805.00467v2 · Scott Armstrong, Sam Ferguson, Tuomo Kuusi2018 · 13 citationsarXiv
An iterative method for elliptic problems with rapidly oscillating coefficients1803.03551v4 · S. Armstrong, A. Hannukainen, T. Kuusi et al.2018 · 9 citationsarXiv
Quantitative stochastic homogenization and large-scale regularity1705.05300v2 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat2017 · 181 citationsGrundlehren der mathematischen Wissenschaften, Vol. 352 (2019)
Existence and boundary regularity for degenerate phase transitions1702.07159v1 · Paolo Baroni, Tuomo Kuusi, Casimir Lindfors et al.2017 · 6 citationsarXiv
Quantitative analysis of boundary layers in periodic homogenization1607.06716v2 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat et al.2016 · 26 citationsarXiv
Equivalence of solutions to fractional -Laplace type equations1605.03455v2 · Janne Korvenpaa, Tuomo Kuusi, Erik Lindgren2016 · 83 citationsarXiv
Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations1605.00906v2 · Janne Korvenpaa, Tuomo Kuusi, Giampiero Palatucci2016 · 43 citationsarXiv
The obstacle problem for nonlinear integro-differential operators1604.04521v1 · Janne Korvenpaa, Tuomo Kuusi, Giampiero Palatucci2016 · 79 citationsarXiv
Scaling limits of energies and correctors1603.03388v2 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat2016 · 2 citationsarXiv
The additive structure of elliptic homogenization1602.00512v3 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat2016 · 97 citationsarXiv
Pointwise Calderón-Zygmund gradient estimates for the -Laplace system1510.02612v1 · Dominic Breit, Andrea Cianchi, Lars Diening et al.2015 · 50 citationsarXiv
Mesoscopic higher regularity and subadditivity in elliptic homogenization1507.06935v3 · Scott Armstrong, Tuomo Kuusi, Jean-Christophe Mourrat2015 · 63 citationsarXiv
Local behavior of fractional -minimizers1505.00361v1 · Agnese Di Castro, Tuomo Kuusi, Giampiero Palatucci2015 · 346 citationsarXivon Valency
Systems of partial differential equations in porous medium1412.5414v2 · Tuomo Kuusi, L'eonard Monsaingeon, Juha Videman2014 · 6 citationsarXiv
Borderline gradient continuity of minima1409.8122v1 · Paolo Baroni, Tuomo Kuusi, Giuseppe Mingione2014 · 55 citationsarXiv
Shadows of infinities1406.6309v2 · Tuomo Kuusi, Peter Lindqvist, Mikko Parviainen2014 · 1 citationarXiv
Nonlocal Harnack inequalities1405.7842v1 · Agnese Di Castro, Tuomo Kuusi, Giampiero Palatucci2014 · 0 citationsarXiv
Guide to nonlinear potential estimates.27069463 · Kuusi, Tuomo, Mingione, Giuseppe2020 · 203 citationsBulletin of mathematical sciences. 2014;4:1-82
Riesz potentials and nonlinear parabolic equations1302.0266v1 · Tuomo Kuusi, Giuseppe Mingione2013 · 78 citationsarXiv
Borderline estimates for fully nonlinear elliptic equations1205.4799v1 · Panagiota Daskalopoulos, Tuomo Kuusi, Giuseppe Mingione2012 · 31 citationsarXiv
Hölder continuity for Trudinger's equation in measure spaces1103.1845v1 · Tuomo Kuusi, Rojbin Laleoglu, Juhana Siljander et al.2011 · 1 citationCalc. Var. Partial Differential Equations, 2011
Local Hölder continuity for doubly nonlinear parabolic equations1006.0781v2 · Tuomo Kuusi, Juhana Siljander, Jos'e Miguel Urbano2010 · 5 citationsIndiana Univ. Math. J. 61 No. 1 (2012), 399-430
Career total: 100 works. 39 are in this corpus.
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