The Experts below are selected from a list of 117 Experts worldwide ranked by ideXlab platform
Georges Limbert - One of the best experts on this subject based on the ideXlab platform.
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implications of multi asperity contact for shear stress distribution in the viable epidermis an image based finite element study
Biotribology, 2017Co-Authors: Maria F Leyvamendivil, Jakub Lengiewicz, Anton Page, Neil W Bressloff, Georges LimbertAbstract:Abstract Understanding load transfer mechanisms from the surface of the skin to its deeper layers is crucial in gaining a fundamental insight into damage phenomena related to skin tears, blisters and superficial/deep tissue ulcers. It is unknown how shear stresses in the viable epidermis are conditioned by the skin surface topography and internal microstructure and to which extent their propagation is conditioned by the size of a contacting asperities. In this computational study, these questions were addressed by conducting a series of contact finite element analyses simulating normal indentation of an anatomically-based two-dimensional multi-layer model of the skin by rigid indenters of various sizes and sliding of these indenters over the skin surface. Indentation depths, Local (i.e. microscopic) Coefficients of friction and Young's modulus of the stratum corneum were also varied. For comparison purpose and for isolating effects arising purely from the skin microstructure, a geometrically-idealised equivalent multi-layer model of the skin was also considered. The multi-asperity contact induced by the skin topographic features in combination with a non-idealised geometry of the skin layers lead to levels of shear stresses much higher than those produced in the geometrically-idealised case. These effects are also modulated by other system parameters (e.g. Local Coefficient of friction, indenter radius). These findings have major implications for the design and analyses of finite element studies aiming at modelling the tribology of skin, particularly if the focus is on how surface shear stress leads to damage initiation which is a process known to occur across several length scales.
Shira Zerbib - One of the best experts on this subject based on the ideXlab platform.
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on lusztig dupont homology of flag complexes
Journal of Algebra, 2019Co-Authors: Roy Meshulam, Shira ZerbibAbstract:Abstract Let V be an n-dimensional vector space over the finite field F q . The spherical building X V associated with G L ( V ) is the order complex of the nontrivial linear subspaces of V. Let g be the Local Coefficient system on X V , whose value on the simplex σ = [ V 0 ⊂ ⋯ ⊂ V p ] ∈ X V is given by g ( σ ) = V 0 . The homology module D 1 ( V ) = H ˜ n − 2 ( X V ; g ) plays a key role in Lusztig's seminal work on the discrete series representations of G L ( V ) . Here, some further properties of g and its exterior powers are established. These include a construction of an explicit basis of D 1 ( V ) , a computation of the dimension of D k ( V ) = H ˜ n − k − 1 ( X V ; ∧ k g ) , and the following twisted analogue of a result of Smith and Yoshiara: For any 1 ≤ k ≤ n − 1 , the minimal support size of a non-zero ( n − k − 1 ) -cycle in the twisted homology H ˜ n − k − 1 ( X V ; ∧ k g ) is ( n − k + 2 ) ! 2 .
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on lusztig dupont homology of flag complexes
arXiv: Combinatorics, 2018Co-Authors: Roy Meshulam, Shira ZerbibAbstract:Let $V$ be an $n$-dimensional vector space over the finite field of order $q$. The spherical building $X_V$ associated with $GL(V)$ is the order complex of the nontrivial linear subspaces of $V$. Let $\mathfrak{g}$ be the Local Coefficient system on $X_V$, whose value on the simplex $\sigma=[V_0 \subset \cdots \subset V_p] \in X_V$ is given by $\mathfrak{g}(\sigma)=V_0$. Following the work of Lusztig and Dupont, we study the homology module $D^k(V)=\tilde{H}_{n-k-1}(X_V;\mathfrak{g})$. Our results include a construction of an explicit basis of $D^1(V)$, and the following twisted analogue of a result of Smith and Yoshiara: For any $1 \leq k \leq n-1$, the minimal support size of a non-zero $(n-k-1)$-cycle in the twisted homology $\tilde{H}_{n-k-1}(X_V;\wedge^k \mathfrak{g})$ is $\frac{(n-k+2)!}{2}$.
Nobuhiro Nakamura - One of the best experts on this subject based on the ideXlab platform.
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\text{ Pin }^-(2)-monopole equations and intersection forms with Local Coefficients of four-manifolds
Mathematische Annalen, 2013Co-Authors: Nobuhiro NakamuraAbstract:We introduce a variant of the Seiberg-Witten equations, \(\text{ Pin }^-(2)\)-monopole equations, and give its applications to intersection forms with Local Coefficients of four-manifolds. The first application is an analogue of Froyshov’s results on four-manifolds with definite intersection forms with Local Coefficients. The second is a Local Coefficient version of Furuta’s \(10/8\)-inequality. As a corollary, we construct nonsmoothable spin four-manifolds satisfying Rohlin’s theorem and the \(10/8\)-inequality.
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Pin^-(2)-monopole equations and intersection forms with Local Coefficients of 4-manifolds
arXiv: Geometric Topology, 2010Co-Authors: Nobuhiro NakamuraAbstract:We introduce a variant of the Seiberg-Witten equations, Pin^-(2)-monopole equations, and give its applications to intersection forms with Local Coefficients of 4-manifolds. The first application is an analogue of Froyshov's results on 4-manifolds which have definite forms with Local Coefficients. The second is a Local Coefficient version of Furuta's 10/8-inequality. As a corollary, we construct nonsmoothable spin 4-manifolds satisfying Rohlin's theorem and the 10/8-inequality.
Michal Radvan - One of the best experts on this subject based on the ideXlab platform.
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Municipal charges on communal waste: do they compete with the immovable property tax?
Journal of Financial Management of Property and Construction, 2019Co-Authors: Michal RadvanAbstract:Purpose The purpose of this paper is to give a recommendation to the municipalities what Local tax/taxes sensu largo (a waste charge or an immovable property tax increased by a Local Coefficient) are to be collected to achieve expected and necessary incomes and limit the administrative costs. Design/methodology/approach To reach the aim, it was necessary to analyze the number of municipalities increasing the property tax by the Local Coefficient and abolishing the charge on communal waste to save money for the waste charges administration. The evidence of municipalities applying the Local Coefficient was used as a basis for the research. To get the information on charges on communal waste collected in these municipalities with the Local Coefficient within the past at least five taxable periods, the information from Monitor was used. If there was any such a significant change, then it was necessary to use the bylaws and to do thorough analysis of the reasons. Findings The hypothesis that a high number of municipalities in the Czech Republic are replacing the charge on communal waste with the Local Coefficient applicable for the immovable property tax was rejected. In the opinion of the author, the ideal approach is to have just one Local tax – immovable property tax. This tax is administered by the state tax office and the revenue should cover the cost of waste management. Adopting only the property tax increased by the Local Coefficient, it is necessary to explain the benefits to the taxpayers, that is, Locals and voters. Originality/value The research on the given topic was never done in the Czech Republic, as there is no evidence of Local charges collected in individual municipalities.
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Municipal Charges on Communal Waste: Do They Compete with the Immovable Property Tax?
2019Co-Authors: Michal RadvanAbstract:The purpose of this paper is to give a recommendation to the municipalities what Local tax/taxes sensu largo (a waste charge or an immovable property tax increased by a Local Coefficient) are to be collected to achieve expected and necessary incomes and limit the administrative costs. To reach the aim, it was necessary to analyze the number of municipalities increasing the property tax by the Local Coefficient and abolishing the charge on communal waste to save money for the waste charges administration. The evidence of municipalities applying the Local Coefficient was used as a basis for the research. To get the information on charges on communal waste collected in these municipalities with the Local Coefficient within the past at least five taxable periods, the information from Monitor was used. If there was any such a significant change, then it was necessary to use the bylaws and to do thorough analysis of the reasons. The hypothesis that a high number of municipalities in the Czech Republic are replacing the charge on communal waste with the Local Coefficient applicable for the immovable property tax was rejected. In the opinion of the author, the ideal approach is to have just one Local tax – immovable property tax. This tax is administered by the state tax office and the revenue should cover the cost of waste management. Adopting only the property tax increased by the Local Coefficient, it is necessary to explain the benefits to the taxpayers, that is, Locals and voters.
Roy Meshulam - One of the best experts on this subject based on the ideXlab platform.
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on lusztig dupont homology of flag complexes
Journal of Algebra, 2019Co-Authors: Roy Meshulam, Shira ZerbibAbstract:Abstract Let V be an n-dimensional vector space over the finite field F q . The spherical building X V associated with G L ( V ) is the order complex of the nontrivial linear subspaces of V. Let g be the Local Coefficient system on X V , whose value on the simplex σ = [ V 0 ⊂ ⋯ ⊂ V p ] ∈ X V is given by g ( σ ) = V 0 . The homology module D 1 ( V ) = H ˜ n − 2 ( X V ; g ) plays a key role in Lusztig's seminal work on the discrete series representations of G L ( V ) . Here, some further properties of g and its exterior powers are established. These include a construction of an explicit basis of D 1 ( V ) , a computation of the dimension of D k ( V ) = H ˜ n − k − 1 ( X V ; ∧ k g ) , and the following twisted analogue of a result of Smith and Yoshiara: For any 1 ≤ k ≤ n − 1 , the minimal support size of a non-zero ( n − k − 1 ) -cycle in the twisted homology H ˜ n − k − 1 ( X V ; ∧ k g ) is ( n − k + 2 ) ! 2 .
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on lusztig dupont homology of flag complexes
arXiv: Combinatorics, 2018Co-Authors: Roy Meshulam, Shira ZerbibAbstract:Let $V$ be an $n$-dimensional vector space over the finite field of order $q$. The spherical building $X_V$ associated with $GL(V)$ is the order complex of the nontrivial linear subspaces of $V$. Let $\mathfrak{g}$ be the Local Coefficient system on $X_V$, whose value on the simplex $\sigma=[V_0 \subset \cdots \subset V_p] \in X_V$ is given by $\mathfrak{g}(\sigma)=V_0$. Following the work of Lusztig and Dupont, we study the homology module $D^k(V)=\tilde{H}_{n-k-1}(X_V;\mathfrak{g})$. Our results include a construction of an explicit basis of $D^1(V)$, and the following twisted analogue of a result of Smith and Yoshiara: For any $1 \leq k \leq n-1$, the minimal support size of a non-zero $(n-k-1)$-cycle in the twisted homology $\tilde{H}_{n-k-1}(X_V;\wedge^k \mathfrak{g})$ is $\frac{(n-k+2)!}{2}$.