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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>Seminars by:</b> <a href='/seminar/902/'>Liang</a></p>
<p><b>New papers by:</b> <a href='/person/3/' >Ambrosio</a>, <a href='/person/260/' >Goldman</a>, <a >Chan</a>, <a href='/person/4100/' >Zagati</a>, <a href='/person/3847/' >Picchi Scardaoni</a>, <a href='/person/1176/' >Cinti</a>, <a >Koch</a>, <a href='/person/1949/' >Comi</a>, <a >Caglioti</a>, <a >Cuomo</a>, <a >De Rosa</a>, <a >Bäuerlein</a>, <a >Paroni</a>, <a >Grimaldi</a>, <a href='/person/5286/' >Acampora</a>, <a >Basteri</a>, <a >Correddu</a>, <a >Cristoforoni</a>, <a >Amato</a>, <a href='/person/4267/' >Inversi</a>, <a href='/person/32/' >Garroni</a>, <a href='/person/33/' >Prinari</a>, <a href='/person/3365/' >De Nitti</a>, <a >Pieroni</a>, <a >Celentano</a>, <a href='/person/544/' >Cesaroni</a>, <a href='/person/178/' >Maddalena</a>, <a >Zuazua</a>, <a href='/person/183/' >Cicalese</a>, <a href='/person/581/' >Nitsch</a>, <a href='/person/2246/' >Bach</a>, <a >Volzone</a>, <a href='/person/1099/' >De Luca</a>, <a href='/person/84/' >Passarelli di Napoli</a>, <a href='/person/2260/' >Stefani</a>, <a href='/person/119/' >Novaga</a>, <a href='/person/4313/' >Freguglia</a>, <a href='/person/2011/' >Coclite</a>, <a href='/person/102/' >Mainini</a>, <a href='/person/1642/' >Crismale</a>, <a href='/person/1259/' >Trevisan</a>, <a href='/person/4079/' >Bianchi</a>, <a href='/person/3955/' >Ognibene</a>, <a href='/person/5237/' >Vitillaro</a>, <a href='/person/254/' >Leonardi</a>, <a href='/person/1400/' >Scala</a>, <a href='/person/4346/' >Ambrosio</a>, <a href='/person/1531/' >Orlando</a>, <a >Vianello</a>, <a >Trombetti</a></p>
<p><b>Modified papers by:</b> <a href='/person/3/'>Ambrosio</a>, <a href='/person/260/'>Goldman</a>, <a >Sundaramoorthi</a>, <a >Yezzi</a>, <a >Schmitzer</a>, <a href='/person/2701/'>Glaudo</a>, <a href='/person/141/'>Pinamonti</a>, <a href='/person/3471/'>Onoue</a>, <a href='/person/4884/'>Bozzola</a>, <a href='/person/22/'>De Philippis</a>, <a >Verzini</a>, <a href='/person/26/'>Stepanov</a>, <a href='/person/2331/'>Caponi</a>, <a href='/person/1949/'>Comi</a>, <a href='/person/158/'>Corbo Esposito</a>, <a >Cirant</a>, <a href='/person/33/'>Prinari</a>, <a href='/person/4392/'>Piscitelli</a>, <a >De Rosa</a>, <a href='/person/1962/'>Fogagnolo</a>, <a href='/person/2808/'>Carbotti</a>, <a >Tamburrino</a>, <a >Prakash</a>, <a href='/person/57/'>Crippa</a>, <a >Latocca</a>, <a >Pigati</a>, <a href='/person/1217/'>Scilla</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/3274/'>Sapio</a>, <a href='/person/4045/'>Sk</a>, <a >Puchkin</a>, <a >Spokoiny</a>, <a >Mariani</a>, <a href='/person/2642/'>Borghini</a>, <a href='/person/2260/'>Stefani</a>, <a href='/person/4823/'>Halavati</a>, <a href='/person/89/'>De Cicco</a>, <a href='/person/5081/'>Cosenza</a>, <a href='/person/1251/'>Bourne</a>, <a href='/person/228/'>Magnani</a>, <a href='/person/232/'>Alberti</a>, <a href='/person/1259/'>Trevisan</a>, <a href='/person/109/'>Mennucci</a>, <a >Duci</a>, <a >Wirth</a>, <a href='/person/248/'>Faella</a></p>
<h2>Seminars next week</h2>
<h3>Wed 17 July 2024</h3><ul>
<li><p>
Agenda: Get-together (30 min), presentation Xiangyu Liang (60 min), questions and discussions (30 min).
Registration required for new participants. Please go to our seminar website (allow one work day for processing).<br />
Xiangyu Liang: <b><a href='/seminar/902/'>Almgren minimals sets, minimal cones, unions and products</a></b><br />
, 10:00<br />
</p>
<div style="font-size: smaller;"><p>The notion of Almgren minimal sets is a way to try to solve Plateau’s problem in the setting of sets. To study local structures for these sets, one does blow-ups at each point, and the blow-up limits turn out to be minimal cones. People then would like to know the list of all minimal cones.
</p>
<p>The list of 1 or 2-dimensional minimal cones in $\mathbb R^3$ are known for over a century. For other dimensions and codimensions, much less is known. Up to now there is no general way to classify all possible minimal cones. One typical way is to test unions and products of known minimal cones.
</p>
<p>In this talk, we will first introduce basic notions and facts on Almgren minimal sets and minimal cones. Then we will discuss the minimality of unions and products of two minimal cones.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Ambrosio:</b> <a href='/paper/6651/'>Besov regularity for a class of singular or degenerate elliptic equations</a></p>
<p><b> Ambrosio:</b> <a href='/paper/6652/'>Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation</a></p>
<p><b> Ambrosio, Passarelli di Napoli:</b> <a href='/paper/6653/'>Regularity results for a class of widely degenerate parabolic equations</a></p>
<p><b> Ambrosio, Cuomo, De Rosa:</b> <a href='/paper/6654/'>A physics-informed deep learning approach for solving strongly degenerate parabolic problems</a></p>
<p><b> Ambrosio, Bäuerlein:</b> <a href='/paper/6655/'>Gradient bounds for strongly singular or degenerate parabolic systems</a></p>
<p><b> Ambrosio, Grimaldi, Passarelli di Napoli:</b> <a href='/paper/6656/'>Sharp second-order regularity for widely degenerate elliptic equations</a></p>
<p><b> Ambrosio, Vitillaro, Trevisan:</b> <a href='/paper/6657/'>Sharp PDE estimates for random two-dimensional bipartite matching with
power cost function</a></p>
<p><b> Trevisan:</b> <a href='/paper/6658/'>Wide Deep Neural Networks with Gaussian Weights are Very Close to
Gaussian Processes</a></p>
<p><b> Basteri, Trevisan:</b> <a href='/paper/6659/'>Quantitative Gaussian Approximation of Randomly Initialized Deep Neural
Networks</a></p>
<p><b> Correddu, Trevisan:</b> <a href='/paper/6660/'>On Minimum Spanning Trees for Random Euclidean Bipartite Graphs</a></p>
<p><b> Acampora, Cristoforoni, Nitsch, Trombetti:</b> <a href='/paper/6661/'>A free boundary problem in thermal insulation with a prescribed heat
source</a></p>
<p><b> Acampora, Cristoforoni:</b> <a href='/paper/6662/'>On the asymptotic behavior of a diffraction problem with a thin layer</a></p>
<p><b> Acampora, Amato, Cristoforoni:</b> <a href='/paper/6663/'>Estimates on the Neumann and Steklov principal eigenvalues of collapsing
domains</a></p>
<p><b> Acampora, Cristoforoni, Nitsch, Trombetti:</b> <a href='/paper/6664/'>On the optimal shape of a thin insulating layer</a></p>
<p><b> Acampora, Cristoforoni:</b> <a href='/paper/6665/'>An isoperimetric result for an energy related to the $p$-capacity</a></p>
<p><b> Acampora, Cristoforoni:</b> <a href='/paper/6666/'>A free boundary problem for the p-Laplacian with nonlinear boundary
conditions</a></p>
<p><b> Paroni, Picchi Scardaoni:</b> <a href='/paper/6667/'>From elastic shallow shells to beams with elastic hinges by $\Gamma $-convergence</a></p>
<p><b> Comi, Leonardi:</b> <a href='/paper/6668/'>Measures in the dual of $BV$: perimeter bounds and relations with divergence-measure fields</a></p>
<p><b> Mainini, Ognibene, Volzone:</b> <a href='/paper/6669/'>Local multiplicity for fractional linear equations with Hardy potentials</a></p>
<p><b> Caglioti, Goldman, Pieroni, Trevisan:</b> <a href='/paper/6670/'>Subadditivity and optimal matching of unbounded samples</a></p>
<p><b> Ambrosio:</b> <a href='/paper/6671/'>Sharp Sobolev regularity for widely degenerate parabolic equations</a></p>
<p><b> Leonardi, Vianello:</b> <a href='/paper/6672/'>Free-Boundary Monotonicity for Almost-Minimizers of the Relative Perimeter</a></p>
<p><b> Chan, Freguglia, Inversi:</b> <a href='/paper/6673/'>$Γ$-Limsup estimate for a nonlocal approximation of the Willmore
functional</a></p>
<p><b> Acampora, Celentano, Cristoforoni, Nitsch, Trombetti:</b> <a href='/paper/6674/'>A spectral isoperimetric inequality on the n-sphere for the
Robin-Laplacian with negative boundary parameter</a></p>
<p><b> Bach, Cicalese, Garroni, Orlando:</b> <a href='/paper/6675/'>Stacking faults in the limit of a discrete model for partial edge dislocations</a></p>
<p><b> Cinti, Prinari:</b> <a href='/paper/6676/'>On fractional Hardy-type inequalities in general open sets</a></p>
<p><b> Cesaroni, Novaga:</b> <a href='/paper/6677/'>Minimal periodic foams with fixed inradius</a></p>
<p><b> Coclite, De Nitti, Maddalena, Orlando, Zuazua:</b> <a href='/paper/6678/'>Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings</a></p>
<p><b> Orlando:</b> <a href='/paper/6679/'>Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime</a></p>
<p><b> Crismale, De Luca, Scala:</b> <a href='/paper/6680/'>Approximation of topological singularities through free discontinuity functionals: the critical and super-critical regimes</a></p>
<p><b> Bianchi, Stefani, Zagati:</b> <a href='/paper/6681/'>A geometrical approach to the sharp Hardy inequality in Sobolev-Slobodeckiĭ spaces</a></p>
<p><b> Goldman, Koch:</b> <a href='/paper/6682/'>Partial regularity for optimal transport with $p$-cost away from fixed points</a></p>
<h2>Modified Papers</h2>
<p><b> Magnani, Trevisan:</b> <a href='/paper/3092/'>On Lipschitz vector fields and the Cauchy problem in homogeneous groups</a></p>
<p><b> Bourne, Schmitzer, Wirth:</b> <a href='/paper/4011/'>Semi-discrete unbalanced optimal transport and quantization</a></p>
<p><b> Ambrosio, Glaudo, Trevisan:</b> <a href='/paper/4265/'>On the optimal map in the 2-dimensional random matching problem</a></p>
<p><b> Alberti, Stepanov, Trevisan:</b> <a href='/paper/4540/'>Integration of nonsmooth $\boldsymbol{2}$-forms: from Young to Itô
and Stratonovich</a></p>
<p><b> Goldman, Trevisan:</b> <a href='/paper/4812/'>Convergence of asymptotic costs for random Euclidean matching problems</a></p>
<p><b> Puchkin, Spokoiny, Stepanov, Trevisan:</b> <a href='/paper/4970/'>Reconstruction of manifold embeddings into Euclidean spaces via
intrinsic distances</a></p>
<p><b> Ambrosio, Goldman, Trevisan:</b> <a href='/paper/5314/'>On the quadratic random matching problem in two-dimensional domains</a></p>
<p><b> Crippa, Stefani:</b> <a href='/paper/5316/'>An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces</a></p>
<p><b> Stepanov, Trevisan:</b> <a href='/paper/5374/'>On exterior differential systems involving differentials of Hölder
functions</a></p>
<p><b> Duci, Mennucci:</b> <a href='/paper/5442/'>Banach-like metrics and metrics of compact sets</a></p>
<p><b> Mennucci, Yezzi, Sundaramoorthi:</b> <a href='/paper/5443/'>Sobolev--type metrics in the space of curves</a></p>
<p><b> De Rosa, Latocca, Stefani:</b> <a href='/paper/5529/'>On double Hölder regularity of the hydrodynamic pressure in bounded domains</a></p>
<p><b> Goldman, Trevisan:</b> <a href='/paper/5734/'>Optimal transport methods for combinatorial optimization over two random
point sets</a></p>
<p><b> Mariani, Trevisan:</b> <a href='/paper/6107/'>Wasserstein Asymptotics for Brownian Motion on the Flat Torus and
Brownian Interlacements</a></p>
<p><b> Borghini, Fogagnolo, Pinamonti:</b> <a href='/paper/6120/'>The equality case in the substatic Heintze-Karcher inequality</a></p>
<p><b> Brasco, Prinari, Sk:</b> <a href='/paper/6200/'>On Morrey's inequality in Sobolev-Slobodeckij spaces</a></p>
<p><b> Corbo Esposito, Faella, Piscitelli, Prakash, Tamburrino:</b> <a href='/paper/6230/'>The p-Laplace "Signature" for Quasilinear Inverse Problems with Large Boundary Data</a></p>
<p><b> Onoue:</b> <a href='/paper/6249/'>On the shape of hypersurfaces with boundary which have zero fractional mean curvature</a></p>
<p><b> Caponi, Carbotti, Sapio:</b> <a href='/paper/6254/'>The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture</a></p>
<p><b> Comi, De Cicco, Scilla:</b> <a href='/paper/6263/'>Beyond $BV$: new pairings and Gauss-Green formulas for measure fields with divergence measure</a></p>
<p><b> Bozzola, Brasco:</b> <a href='/paper/6357/'>The role of topology and capacity in some bounds for principal frequencies</a></p>
<p><b> Cirant, Cosenza, Verzini:</b> <a href='/paper/6504/'>Ergodic Mean Field Games: existence of local minimizers up to the Sobolev critical case</a></p>
<p><b> De Philippis, Halavati, Pigati:</b> <a href='/paper/6586/'>Decay of excess for the abelian Higgs model</a></p>
<h2>Open Positions</h2>
<p><a href="/position/932/">3 postdocs at Univ. Padova</a> (deadline: Mon 15 July 2024)</p>
<p><a href="/position/929/">Tenure Track position in Mathematical Analysis - University of Milan</a> (deadline: Fri 19 July 2024)</p>
<p><b>(new)</b> <a href="/position/936/">Posizione di Ricercatore TD Tipo B - Mat/05 - Dipartimento di Matematica dell'Univ. di Napoli Federico II</a> (deadline: Mon 22 July 2024)</p>
<p><b>(new)</b> <a href="/position/937/">Post-doc position - University of Parma - 1 year, renewable, Analisi Matematica (MATH-03/A)</a> (deadline: Wed 24 July 2024)</p>
<p><a href="/position/935/">1 RTT (per esterni - art. 24 c. 1 bis) in Analisi Matematica (MATH-03/A) al DiMaI dell'Università di Firenze</a> (deadline: Thu 25 July 2024)</p>
<p><a href="/position/925/">Scholarships for Master's degree in Analysis and Geometry</a> (deadline: Tue 30 July 2024)</p>
<p><a href="/position/918/">PhD position in Mathematics of Machine Learning at the University of Würzburg</a> (deadline: Wed 31 July 2024)</p>
<p><a href="/position/933/">2 year postdoc position in Analysis of PDEs in Regensburg</a> (deadline: Wed 31 July 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/926/">PhD and Postdoc positions in Mathematics of Machine Learning at the University of Würzburg</a> (deadline: Fri 30 August 2024)</p>
<p><a href="/position/934/">Assistant Professor non-tenure track in Analysis/Geometry (Fribourg, Switzerland)</a> (deadline: Sun 15 September 2024)</p>
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