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<h2>cvgmt weekly bulletin</h2>
<p><i>Weekly bulletin for <a href="http://cvgmt.sns.it">http://cvgmt.sns.it</a></i></p>
<h2>Summary</h2>
<p><b>New papers by:</b> <a href='/person/129/' >Percivale</a>, <a >Shahgholian</a>, <a >Sunghan</a>, <a href='/person/2331/' >Caponi</a>, <a href='/person/29/' >Tomarelli</a>, <a href='/person/3493/' >Tiberio</a>, <a >Luigi</a>, <a href='/person/178/' >Maddalena</a>, <a href='/person/184/' >Davoli</a>, <a href='/person/58/' >De Lellis</a>, <a href='/person/3131/' >Pietschmann</a>, <a href='/person/186/' >Figalli</a>, <a href='/person/3261/' >Maione</a>, <a href='/person/1609/' >Lerario</a>, <a href='/person/1227/' >Rizzi</a>, <a >Friesecke</a>, <a >Paul</a>, <a >Giannoulis</a>, <a href='/person/4189/' >Marino</a>, <a href='/person/2808/' >Carbotti</a></p>
<p><b>Modified papers by:</b> <a >Shahgholian</a>, <a href='/person/3/'>Ambrosio</a>, <a >Lombardini</a>, <a >Runa</a>, <a >Indrei</a>, <a href='/person/4368/'>Piccinini</a>, <a href='/person/22/'>De Philippis</a>, <a >Fathi</a>, <a >Bernot</a>, <a href='/person/151/'>Pratelli</a>, <a href='/person/24/'>Palatucci</a>, <a >Bjorland</a>, <a >Caffarelli</a>, <a href='/person/26/'>Stepanov</a>, <a >Loeper</a>, <a >Savin</a>, <a >Philipowski</a>, <a >Barrios</a>, <a >Carrillo</a>, <a href='/person/563/'>Di Francesco</a>, <a >Laurent</a>, <a >Slepčev</a>, <a >Gangbo</a>, <a >Valdinoci</a>, <a href='/person/184/'>Davoli</a>, <a href='/person/186/'>Figalli</a>, <a href='/person/59/'>Colombo</a>, <a href='/person/579/'>Juillet</a>, <a href='/person/4038/'>Gavioli</a>, <a href='/person/201/'>Santambrogio</a>, <a >Dipierro</a>, <a >Rifford</a>, <a href='/person/205/'>Mandorino</a>, <a href='/person/4045/'>Sk</a>, <a >Villani</a>, <a >Ligabò</a>, <a >Paul</a>, <a >McCann</a>, <a href='/person/226/'>Gigli</a>, <a href='/person/98/'>Abbondandolo</a>, <a >Carlen</a>, <a href='/person/3937/'>Anceschi</a>, <a >McCann</a>, <a >Ge</a>, <a >Klein</a>, <a href='/person/239/'>Maggi</a>, <a >Markovich</a>, <a >Sparber</a>, <a href='/person/4974/'>De Filippis</a>, <a >Jerison</a>, <a >Bonforte</a>, <a >Barrios</a>, <a >Kim</a>, <a >Mayorga</a>, <a >Yolcu</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/885/'>Workshop - Metric Geometry and Geometric Measure Theory</a></b><br />
Wed 21 August 2024 - Fri 23 August 2024<br />
Fribourg, Switzerland<br />
</p></li>
</ul>
<h2>New Papers</h2>
<p><b> Caponi, Carbotti, Maione:</b> <a href='/paper/6729/'>$H$-compactness for nonlocal linear operators in fractional divergence form</a></p>
<p><b> Lerario, Rizzi, Tiberio:</b> <a href='/paper/6730/'>Sard properties for polynomial maps in infinite dimension</a></p>
<p><b> Maddalena, Percivale, Tomarelli:</b> <a href='/paper/6731/'>SIGNORINI PROBLEM AS A VARIATIONAL LIMIT OF OBSTACLE PROBLEMS IN NONLINEAR ELASTICITY</a></p>
<p><b> Luigi, Figalli, Friesecke, Giannoulis, Paul:</b> <a href='/paper/6732/'>Semiclassical limit of quantum dynamics with rough potentials and well posedness of transport equations with measure initial data</a></p>
<p><b> De Lellis:</b> <a href='/paper/6733/'>Caffarelli's work on elliptic free boundary problems</a></p>
<p><b> Figalli:</b> <a href='/paper/6734/'>Sobolev regularity for the Monge-Ampère equation, with application to the semigeostrophic equations</a></p>
<p><b> Davoli, Marino, Pietschmann:</b> <a href='/paper/6735/'>Existence and local asymptotics for a system of cross-diffusion equations with nonlocal Cahn-Hilliard terms</a></p>
<p><b> Figalli, Sunghan, Shahgholian:</b> <a href='/paper/6736/'>CONSTRAINT MAPS WITH FREE BOUNDARIES: THE OBSTACLE CASE</a></p>
<h2>Modified Papers</h2>
<p><b> Figalli:</b> <a href='/paper/5/'>Existence, uniqueness and regularity of optimal transport maps</a></p>
<p><b> Figalli, Maggi, Pratelli:</b> <a href='/paper/61/'>A note on Cheeger sets</a></p>
<p><b> Bjorland, Caffarelli, Figalli:</b> <a href='/paper/106/'>Non-Local Tug-of-War and the Infinity Fractional Laplacian</a></p>
<p><b> Carrillo, Di Francesco, Figalli, Laurent, Slepčev:</b> <a href='/paper/142/'>Confinement in nonlocal interaction equations</a></p>
<p><b> Figalli:</b> <a href='/paper/172/'>A geometric lower bound on Grad's number</a></p>
<p><b> Figalli, Juillet:</b> <a href='/paper/178/'>Absolute continuity of Wasserstein geodesics in the Heisenberg group</a></p>
<p><b> Fathi, Figalli, Rifford:</b> <a href='/paper/203/'>On the Hausdorff Dimension of the Mather Quotient</a></p>
<p><b> Figalli, Maggi, Pratelli:</b> <a href='/paper/208/'>Sharp stability theorems for the anisotropic Sobolev and log-Sobolev inequalities on functions of bounded variation</a></p>
<p><b> Figalli, Maggi, Pratelli:</b> <a href='/paper/435/'>A Geometric Approach to Correlation Inequalities in the Plane</a></p>
<p><b> Figalli, Gigli:</b> <a href='/paper/460/'>Local semiconvexity of Kantorovich potentials on non-compact manifolds</a></p>
<p><b> Figalli, Gigli:</b> <a href='/paper/488/'>A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions</a></p>
<p><b> Figalli, Maggi:</b> <a href='/paper/571/'>On the shape of liquid drops and crystals in the small mass regime</a></p>
<p><b> Fathi, Figalli:</b> <a href='/paper/637/'>Optimal transportation on non-compact manifolds</a></p>
<p><b> Figalli, Villani:</b> <a href='/paper/679/'>An approximation lemma about the cut locus, with applications in optimal transport theory</a></p>
<p><b> Abbondandolo, Figalli:</b> <a href='/paper/680/'>Invariant measures of Hamiltonian systems with prescribed asymptotic Maslov index</a></p>
<p><b> Figalli, Rifford, Villani:</b> <a href='/paper/689/'>Nearly round spheres look convex</a></p>
<p><b> Figalli, Rifford, Villani:</b> <a href='/paper/721/'>Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds</a></p>
<p><b> Figalli, Kim, McCann:</b> <a href='/paper/766/'>Regularity of optimal transport maps on multiple products of spheres</a></p>
<p><b> Figalli, Kim, McCann:</b> <a href='/paper/809/'>When is multidimensional screening a convex program?</a></p>
<p><b> Figalli, Villani:</b> <a href='/paper/849/'>Strong displacement convexity on Riemannian manifolds</a></p>
<p><b> Abbondandolo, Figalli:</b> <a href='/paper/852/'>High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces</a></p>
<p><b> Figalli, Rifford:</b> <a href='/paper/861/'>Continuity of optimal transport maps and convexity of injectivity domains on small deformations of S^2</a></p>
<p><b> Ambrosio, Figalli:</b> <a href='/paper/877/'>Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces</a></p>
<p><b> Figalli, Rifford:</b> <a href='/paper/897/'>Mass Transportation on Sub-Riemannian Manifolds</a></p>
<p><b> Bernot, Figalli, Santambrogio:</b> <a href='/paper/902/'>Generalized solutions for the Euler equations in one and two dimensions</a></p>
<p><b> Figalli:</b> <a href='/paper/975/'>A simple proof of the Morse-Sard Theorem in Sobolev Spaces</a></p>
<p><b> Figalli, Philipowski:</b> <a href='/paper/987/'>Convergence to the viscous porous medium equation and propagation of chaos</a></p>
<p><b> Figalli:</b> <a href='/paper/1019/'>A note on the regularity of the free boundaries in the optimal partial transport problem</a></p>
<p><b> Figalli:</b> <a href='/paper/1063/'>Regularity properties of optimal maps between nonconvex domains in the plane</a></p>
<p><b> Figalli, Rifford, Villani:</b> <a href='/paper/1067/'>Tangent cut loci on surfaces</a></p>
<p><b> Carrillo, Di Francesco, Figalli, Laurent, Slepčev:</b> <a href='/paper/1129/'>Global-in-time weak measure solutions and finite-time aggregation for nonlocal interaction equations</a></p>
<p><b> Ambrosio, Figalli:</b> <a href='/paper/1189/'>On the regularity of the pressure field of Brenier's weak solutions to incompressible Euler equations</a></p>
<p><b> Figalli, Ligabò, Paul:</b> <a href='/paper/1231/'>Semiclassical limit for mixed states with singular and rough potentials</a></p>
<p><b> Ambrosio, Figalli:</b> <a href='/paper/1278/'>Almost everywhere well-posedness of continuity equations with measure initial data</a></p>
<p><b> Figalli:</b> <a href='/paper/1292/'>Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients</a></p>
<p><b> Figalli:</b> <a href='/paper/1313/'>The Monge problem on non-compact manifolds</a></p>
<p><b> Figalli, Kim:</b> <a href='/paper/1326/'>Partial regularity of Brenier solutions of the Monge-Ampère equation</a></p>
<p><b> Figalli, Ge:</b> <a href='/paper/1338/'>Isoperimetric-type inequalities on constant curvature manifolds</a></p>
<p><b> Ambrosio, Figalli:</b> <a href='/paper/1412/'>On flows associated to Sobolev vector fields in Wiener spaces: an approach a' la DiPerna-Lions</a></p>
<p><b> Figalli, Gangbo, Yolcu:</b> <a href='/paper/1436/'>A variational method for a class of parabolic PDEs</a></p>
<p><b> Figalli, Indrei:</b> <a href='/paper/1495/'>A sharp stability result for the relative isoperimetric inequality inside convex cones</a></p>
<p><b> Figalli, Mandorino:</b> <a href='/paper/1520/'>Fine properties of minimizers of mechanical Lagrangians with Sobolev potentials</a></p>
<p><b> Figalli, Rifford, Villani:</b> <a href='/paper/1529/'>On the Ma-Trudinger-Wang curvature on surfaces</a></p>
<p><b> Bernot, Figalli:</b> <a href='/paper/1576/'>Synchronized traffic plans and stability of optima</a></p>
<p><b> Figalli:</b> <a href='/paper/1583/'>The optimal partial transport problem</a></p>
<p><b> Figalli, Loeper:</b> <a href='/paper/1593/'>$C^1$ regularity of solutions of the Monge-Ampère equation for optimal transport in dimension two</a></p>
<p><b> Ambrosio, Figalli:</b> <a href='/paper/1647/'>Geodesics in the space of measure-preserving maps and plans</a></p>
<p><b> Figalli:</b> <a href='/paper/1658/'>On flows of $H^{3/2}$-vector fields on the circle</a></p>
<p><b> Caffarelli, Figalli:</b> <a href='/paper/1672/'>Regularity of solutions to the parabolic fractional obstacle problem</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/1695/'>$W^{2,1}$ regularity for solutions of the Monge-Ampère equation</a></p>
<p><b> Ambrosio, Colombo, De Philippis, Figalli:</b> <a href='/paper/1700/'>Existence of Eulerian solutions to the semigeostrophic equations in physical space: the 2-dimensional periodic case</a></p>
<p><b> Bonforte, Figalli:</b> <a href='/paper/1737/'>Total Variation Flow and Sign Fast Diffusion in one dimension</a></p>
<p><b> Figalli, Maggi:</b> <a href='/paper/1773/'>On the isoperimetric problem for radial log-convex densities</a></p>
<p><b> De Philippis, Figalli, Savin:</b> <a href='/paper/1777/'>A note on interior $W^{2,1+\varepsilon}$ estimates for the Monge-Ampere equation</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/1778/'>Second order stability for the Monge-Ampere equation and strong Sobolev convergence of optimal transport maps</a></p>
<p><b> Bjorland, Caffarelli, Figalli:</b> <a href='/paper/1811/'>Non-Local Gradient Dependent Operators</a></p>
<p><b> Dipierro, Figalli, Palatucci, Valdinoci:</b> <a href='/paper/1817/'>Asymptotics of the $s$-perimeter as $s \searrow 0$</a></p>
<p><b> Ambrosio, Colombo, De Philippis, Figalli:</b> <a href='/paper/1846/'>A global existence result for the semigeostrophic equations in three dimensional convex domains</a></p>
<p><b> Ambrosio, Figalli, Runa:</b> <a href='/paper/1867/'>On sets of finite perimeter in Wiener spaces: reduced boundary and convergence to halfspaces</a></p>
<p><b> Carlen, Figalli:</b> <a href='/paper/1884/'>Stability for a GNS inequality and the Log-HLS inequality, with application to the critical mass Keller-Segel equation</a></p>
<p><b> Barrios, Figalli, Valdinoci:</b> <a href='/paper/1894/'>Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces</a></p>
<p><b> Colombo, Figalli:</b> <a href='/paper/1996/'>Regularity results for very degenerate elliptic equations</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/2024/'>Sobolev regularity for Monge-Ampère type equations</a></p>
<p><b> Figalli, Klein, Markovich, Sparber:</b> <a href='/paper/2077/'>WKB analysis of Bohmian dynamics</a></p>
<p><b> Figalli, Kim, McCann:</b> <a href='/paper/2109/'>Hölder continuity and injectivity of optimal maps</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/2111/'>Higher integrability for minimizers of the Mumford-Shah functional</a></p>
<p><b> Figalli, Jerison:</b> <a href='/paper/2159/'>How to recognize convexity of a set from its marginals</a></p>
<p><b> Figalli, Kim, McCann:</b> <a href='/paper/2167/'>On supporting hyperplanes to convex bodies</a></p>
<p><b> Colombo, Figalli:</b> <a href='/paper/2300/'>An excess-decay result for a class of degenerate elliptic equations</a></p>
<p><b> Figalli, Shahgholian:</b> <a href='/paper/2360/'>A general class of free boundary problems for fully nonlinear elliptic equations</a></p>
<p><b> Sk:</b> <a href='/paper/5739/'>Characterization of fractional Sobolev--Poincaré and (localized) Hardy inequalities</a></p>
<p><b> Palatucci, Piccinini:</b> <a href='/paper/6165/'>Asymptotic approach to singular solutions for the CR Yamabe equation</a></p>
<p><b> De Filippis, Piccinini:</b> <a href='/paper/6347/'>Regularity for multi-phase problems at nearly linear growth</a></p>
<p><b> Davoli, Gavioli, Lombardini:</b> <a href='/paper/6386/'>Existence results for Cahn-Hilliard-type systems driven by nonlocal integrodifferential operators with singular kernels</a></p>
<p><b> Barrios, Mayorga, Stepanov:</b> <a href='/paper/6588/'>On a discrete max-plus transportation problem</a></p>
<p><b> Anceschi, Palatucci, Piccinini:</b> <a href='/paper/6687/'>Harnack inequalities for kinetic integral equations</a></p>
<h2>Open Positions</h2>
<p><a href="/position/939/">Three Postdoc positions in Mathematics at Gran Sasso Science Institute (GSSI)</a> (deadline: Tue 20 August 2024)</p>
<p><a href="/position/919/">Lecturer/Assistant Professor position at the University of Cyprus</a> (deadline: Mon 26 August 2024)</p>
<p><a href="/position/941/">Postdoc position in Analysis in L'Aquila</a> (deadline: Wed 28 August 2024)</p>
<p><a href="/position/940/">Tenure track position in Analysis at the University of Pisa</a> (deadline: Thu 29 August 2024)</p>
<p><a href="/position/926/">Postdoc position in Mathematics of Machine Learning at the University of Würzburg</a> (deadline: Fri 30 August 2024)</p>
<p><a href="/position/943/">One-year post-doctoral position at the University of Genoa</a> (deadline: Wed 4 September 2024)</p>
<p><a href="/position/934/">Assistant Professor non-tenure track in Analysis/Geometry (Fribourg, Switzerland)</a> (deadline: Sun 15 September 2024)</p>
<p><a href="/position/938/">Postdoc position in Analysis/PDE at UCLouvain, Belgium</a> (deadline: Mon 30 September 2024)</p>
<p><b>(new)</b> <a href="/position/945/">One *Cat I* PhD Position - The Chinese University of Hong Kong, Shenzhen</a> (deadline: Mon 30 September 2024)</p>
<p><b>(new)</b> <a href="/position/944/">Postdoc position in SISSA, Trieste (Italy)</a> (deadline: Thu 31 October 2024)</p>
<p><a href="/position/942/">6 year research position in Lisbon</a> (deadline: Fri 29 November 2024)</p>
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