infinite-dimensional spaces
Infinite-dimensional calculus under weak spatial regularity of the processes.
... to infinite-dimensional spaces are ...Hilbert spaces, extends the classical one by taking advantage of cancellations, when they occur in examples and it is applied to the case of a group ...
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Consistency of statistics in infinite dimensional quotient spaces
... finite dimensional Riemannian manifolds for Lie group proper action (stability ...in infinite dimensional Hilbert ...in infinite dimensional ...
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Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces
... normed spaces and Hilbert geometries, this is equivalent to the dimension being ...with infinite dimensional spaces, we are forced to extend the ...normed spaces in section ...
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Supporting weakly Pareto optimal allocations in infinite dimensional nonconvex economies
... an infinite dimensional commodity space are not ...the infinite dimensional spaces of interest in Economics, we refer the reader to the survey of Mas-Colell and Zame [24] in the ...
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INFINITE DIMENSIONAL MULTIPLIERS AND PONTRYAGIN PRINCIPLES FOR DISCRETE-TIME PROBLEMS
... 6→ 0, whenever kf n k Z ∗ 6→ 0. Thus, the condition (1) is a criterion ensuring that a sequence of norm one in an infinite dual Banach space, does not converges to 0 in the weak ∗ topology. To ensure that the ...
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Infinite dimensional weak Dirichlet processes, stochastic PDEs and optimal control
... Obviously a semimartingale is a weak Dirichlet process. In Remark 3.5 of [40], appears the following important statement. Proposition 1.2. The decomposition described in Definition 1.1 is unique. Elements of calculus ...
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A CLT Plancherel representations of the infinite-dimensional unitary group
... for infinite-dimensional representa- tions with finite trace; the weight of (the label of) an isotypical component is then defined as the trace of the projection operator onto it, provided that the trace is ...
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Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields
... Sym(N,F ) χ(tr(AS))ν(dS). Since the corresponding groups are locally compact, Theorem 31.5 in Hewitt and Ross [ 3 , p.212] implies that in the cases (i) (ii) and (iv), the characteristic function b µ determines µ ...
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Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces
... in the particular case of the L 2 Wasserstein space in 1D. Finally, Section 6 gives numerical evidence of the performance of the two algorithms on four different problems: an inviscous and viscous Burger’s equation, a ...
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Ten-dimensional lifts of global supersymmetry on curved spaces
... alphabet (a, b, ... = 0, 5, ..., 9) and curved space indices by greek letters (α, β, ... = 0, 5, ..., 9). Note that we have taken a special form of projection in (2.2) where the worldvolume flux F mn = e M [m e N n] B M ...
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An application of the Malliavin calculus to infinite dimensional diffusions
... Diffusions on the infinite product of a compact manifold are defined, and their finite dimensional marginals studied.. It is shown that under reasonable.[r] ...
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Integral and measure-turnpike properties for infinite-dimensional optimal control systems
... We first derive a general integral-turnpike property around a set for infinite-dimensional non-autonomous optimal control problems with any possible terminal state constraints, un- der some appropriate ...
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The Lojasiewicz gradient inequality in the infinite dimensional Hilbert space framework
... D 2 F (0) + m 0 I is invertible, then Lemma 6.1 from [12] shows that the condition is automat- ically fulfilled. Actually we have the following more general result Proposition 6.4. Let V, W be two reflexive Banach ...
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Distance estimates for state constrained trajectories of infinite dimensional differential inclusions
... Int K ̸= ∅, we work in the Banach space of the continuous functions. At first the zero- obstacle problem is investigated, namely, we require the positivity of the solutions. Example 3.3 (A one-dimensional heat ...
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Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis
... The aim of this paper is to extend the theory devel- oped in the previous references by using IQCs as exposed in Scherer and Veenman (2018). In this context, a fil- ter providing the projection coefficients of the ...
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Applications of probability to partial differential equations and infinite dimensional analysis
... We first review the results in finite dimensional spaces, and then examine the infinite dimensional analog under Gaussian measures.. The various techniques developed [r] ...
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Biologically inspired incremental learning for high-dimensional spaces
... c) Related work: Incremental learning algorithms are especially interesting for robotics applications [12], and in fact several very interesting proposals have already been made in this context [12]. An especially ...
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An application of the Bakry-Emery criterion to infinite dimensional diffusions
... We begin by recalling their criterion in the setting with which we will be dealing.. However, the refinement seems to become less and less significant as N becomes lar[r] ...
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Infinite-dimensional regularization of McKean-Vlasov equation with a Wasserstein diffusion
... then b 4 satisfies the b-hypotheses of order j. Indeed, if µ has a compact support with | Supp µ| 6 M, then Var [Y ] η 6 M 2η ; thus C0 M (M ) 6 kak L∞ M 2η M → 0. Let us emphasize the fact that, in the first example ...
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Duality in RKHSs with Infinite Dimensional Outputs: Application to Robust Losses
... 5. Conclusion This work presents a versatile framework based on duality to learn OVK machines with infinite dimensional outputs. The case of convolved losses (e.g. -insensitive, Huber) is thoroughly ...
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