ORBi<sup>lu</sup> Collection: Mathematics
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Constant Gaussian curvature foliations and Schläfli formulas of hyperbolic 3-manifolds
http://hdl.handle.net/10993/40694
Title: Constant Gaussian curvature foliations and Schläfli formulas of hyperbolic 3-manifolds
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<br/>Author, co-author: Mazzoli, Filippo
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<br/>Abstract: We study the geometry of the foliation by constant Gaussian curvature surfaces (S_k)_k of a hyperbolic end, and how it relates to the structures of its boundary at infinity and of its pleated boundary. First, we show that the Thurston and the Schwarzian parametrizations are the limits of two families of parametrizations of the space of hyperbolic ends, defined by Labourie in 1992 in terms of the geometry of the leaves S_k. We give a new description of the renormalized volume using the constant curvature foliation. We prove a generalization of McMullen's Kleinian reciprocity theorem, which replaces the role of the Schwarzian parametrization with Labourie's parametrizations. Finally, we describe the constant curvature foliation of a hyperbolic end as the integral curve of a time-dependent Hamiltonian vector field on the cotangent space to Teichmüller space, in analogy to the Moncrief flow for constant mean curvature foliations in Lorenzian space-times.Distance-based vertex identification in graphs: The outer multiset dimension
http://hdl.handle.net/10993/40570
Title: Distance-based vertex identification in graphs: The outer multiset dimension
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<br/>Author, co-author: Gil-Pons, Reynaldo; Ramirez Cruz, Yunior; Trujillo-Rasua, Rolando; Yero, Ismael G.Galois families of modular forms and application to weight one
http://hdl.handle.net/10993/40541
Title: Galois families of modular forms and application to weight one
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<br/>Author, co-author: Arias-de-Reyna, Sara; Legrand, François; Wiese, Gabor
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<br/>Abstract: We introduce Galois families of modular forms. They are a new kind of family coming from Galois representations of the absolute Galois groups of rational function fields over the rational field. We exhibit some examples and provide an infinite Galois family of non-liftable weight one Katz modular eigenforms over an algebraic closure of F_p for p in {3,5,7,11}.Some naturally defined star products for Kaehler manifolds
http://hdl.handle.net/10993/40500
Title: Some naturally defined star products for Kaehler manifolds
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<br/>Author, co-author: Schlichenmaier, MartinReducibility of n-ary semigroups: from quasitriviality towards idempotency
http://hdl.handle.net/10993/40481
Title: Reducibility of n-ary semigroups: from quasitriviality towards idempotency
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<br/>Author, co-author: Couceiro, Miguel; Devillet, Jimmy; Marichal, Jean-Luc; Mathonet, Pierre
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<br/>Abstract: Let $X$ be a nonempty set. Denote by $\mathcal{F}^n_k$ the class of associative operations $F\colon X^n\to X$ satisfying the condition $F(x_1,\ldots,x_n)\in\{x_1,\ldots,x_n\}$ whenever at least $k$ of the elements $x_1,\ldots,x_n$ are equal to each other. The elements of $\mathcal{F}^n_1$ are said to be quasitrivial and those of $\mathcal{F}^n_n$ are said to be idempotent. We show that $\mathcal{F}^n_1=\cdots =\mathcal{F}^n_{n-2}\varsubsetneq\mathcal{F}^n_{n-1}\varsubsetneq\mathcal{F}^n_n$.
The class $\mathcal{F}^n_1$ was recently characterized by Couceiro and Devillet \cite{CouDev}, who showed that its elements are reducible to binary associative operations. However, some elements of $\mathcal{F}^n_n$ are not reducible. In this paper, we characterize the class $\mathcal{F}^n_{n-1}\setminus\mathcal{F}^n_1$ and show that its elements are reducible. In particular, we show that each of these elements is an extension of an $n$-ary Abelian group operation whose exponent divides $n-1$.The Breuer-Major Theorem in total variation: improved rates under minimal regularity
http://hdl.handle.net/10993/40393
Title: The Breuer-Major Theorem in total variation: improved rates under minimal regularity
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<br/>Author, co-author: Nourdin, Ivan; Nualart, David; Peccati, GiovanniQuasicircles and width of Jordan curves in CP1
http://hdl.handle.net/10993/40258
Title: Quasicircles and width of Jordan curves in CP1
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<br/>Author, co-author: bonsante, francesco; danciger, jeffrey; maloni, sara; Schlenker, Jean-Marc
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<br/>Abstract: We study a notion of "width" for Jordan curves in CP1, paying special attention to the class of quasicircles. The width of a Jordan curve is defined in terms of the geometry of its convex hull in hyperbolic three-space. A similar invariant in the setting of anti de Sitter geometry was used by Bonsante-Schlenker to characterize quasicircles amongst a larger class of Jordan curves in the boundary of anti de Sitter space. By contrast to the AdS setting, we show that there are Jordan curves of bounded width which fail to be quasicircles. However, we show that Jordan curves with small width are quasicircles.On idempotent n-ary uninorms
http://hdl.handle.net/10993/40245
Title: On idempotent n-ary uninorms
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<br/>Author, co-author: Devillet, Jimmy; Kiss, Gergely; Marichal, Jean-Luc
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<br/>Abstract: In this paper we describe the class of idempotent n-ary uninorms
on a given chain.When the chain is finite, we axiomatize the latter
class by means of the following conditions: associativity, quasitriviality,
symmetry, and nondecreasing monotonicity. Also, we show that associativity
can be replaced with bisymmetry in this new axiomatization.Habilitation Thesis
http://hdl.handle.net/10993/40209
Title: Habilitation Thesis
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<br/>Author, co-author: Baraud, YannickModel selection for regression on a fixed design
http://hdl.handle.net/10993/40208
Title: Model selection for regression on a fixed design
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<br/>Author, co-author: Baraud, Yannick
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<br/>Commentary: 1777129Model selection for (auto-)regression with dependent data
http://hdl.handle.net/10993/40207
Title: Model selection for (auto-)regression with dependent data
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<br/>Author, co-author: Baraud, Yannick; Comte, F.; Viennet, G.
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<br/>Commentary: 1845321Adaptive estimation in autoregression or $\beta$-mixing regression via model selection
http://hdl.handle.net/10993/40206
Title: Adaptive estimation in autoregression or $\beta$-mixing regression via model selection
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<br/>Author, co-author: Baraud, Yannick; Comte, F.; Viennet, G.
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<br/>Commentary: 1865343A new test of linear hypothesis in regression
http://hdl.handle.net/10993/40205
Title: A new test of linear hypothesis in regression
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<br/>Author, co-author: Baraud, Yannick; Huet, S.; Laurent, B.
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<br/>Commentary: 1901836Model selection for regression on a random design
http://hdl.handle.net/10993/40203
Title: Model selection for regression on a random design
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<br/>Author, co-author: Baraud, Yannick
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<br/>Commentary: 1918295Non-asymptotic minimax rates of testing in signal detection
http://hdl.handle.net/10993/40202
Title: Non-asymptotic minimax rates of testing in signal detection
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<br/>Author, co-author: Baraud, Yannick
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<br/>Commentary: 1935648Adaptive tests of qualitative hypotheses
http://hdl.handle.net/10993/40201
Title: Adaptive tests of qualitative hypotheses
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<br/>Author, co-author: Baraud, Yannick; Huet, Sylvie; Laurent, Béatrice
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<br/>Commentary: 1956076Adaptive tests of linear hypotheses by model selection
http://hdl.handle.net/10993/40200
Title: Adaptive tests of linear hypotheses by model selection
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<br/>Author, co-author: Baraud, Yannick; Huet, S.; Laurent, B.
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<br/>Commentary: 1962505Confidence balls in Gaussian regression
http://hdl.handle.net/10993/40199
Title: Confidence balls in Gaussian regression
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<br/>Author, co-author: Baraud, Yannick
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<br/>Commentary: 2060168Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function
http://hdl.handle.net/10993/40198
Title: Testing convex hypotheses on the mean of a Gaussian vector. Application to testing qualitative hypotheses on a regression function
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<br/>Author, co-author: Baraud, Yannick; Huet, Sylvie; Laurent, Béatrice
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<br/>Commentary: 2157802Estimating the intensity of a random measure by histogram type estimators
http://hdl.handle.net/10993/40197
Title: Estimating the intensity of a random measure by histogram type estimators
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<br/>Author, co-author: Baraud, Yannick; Birgé, Lucien
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<br/>Commentary: 2449129