On a theorem about Mosco convergence in Hadamard spaces
Let $(f^n),f$ be a sequence of proper closed convex functions defined on a Hadamard space. We show that the convergence of proximal mappings $J^n_λx$ to $J_λx$, under certain additional conditions, imply Mosco convergence of $f^n$ to $f$. This result is a converse to a theorem of Bacak about Mosco convergence in Hadamard spaces.
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Image Morphing in Deep Feature Spaces: Theory and Applications. [PDF]
Effland A +4 more
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Mosco convergence of gradient forms with non-convex potentials II
Abstract This article provides a scaling limit for a family of skew interacting Brownian motions in the context of mesoscopic interface models. Let $$M,d\in \mathbb {N}$$
Grothaus, Martin, Wittmann, Simon
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Level sets of depth measures in abstract spaces. [PDF]
Cholaquidis A, Fraiman R, Moreno L.
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Variable-Length Multiobjective Social Class Optimization for Trust-Aware Data Gathering in Wireless Sensor Networks. [PDF]
Saad MA, Jaafar R, Chellappan K.
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Mosco Type Convergence and Weak Convergence for a Fleming-Viot type Particle System
We are concerned with Mosco type convergence for a non-symmetric $n$-particle Fleming-Viot system $\{X_1,\ldots,X_n\}$ in a bounded $d$-dimensional domain $D$ with smooth boundary. Moreover, we are interested in relative compactness of the $n$-particle processes.
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Fear of COVID-19 and parental violence: The mediating role of parental burnout and child perceived as difficult. [PDF]
Perron-Tremblay R +2 more
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On multivalued martingales whose values may be unbounded: martingale selectors and mosco convergence
Two results on the existence of martingale selections for a multivalued martingale are proved using classical properties of the projective limit of a sequence of subsets. Also, some further properties of the martingale selections are established. Finally some applications are given.
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Degenerate Elastic Networks. [PDF]
Del Nin G, Pluda A, Pozzetta M.
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Dual Kadec-Klee norms and the relationships between Wijsman, slice and Mosco convergence
In this paper, we completely settle several of the open questions regarding the relationships between the three most fundamental forms of set convergence. In particular, it is shown that Wijsman and slice convergence coincide precisely when the weak star and norm topologies agree on the dual sphere.
Borwein, Jonathan M., Vanderwerff, J.
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