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Covering by squares
(ELSEVIER SCIENCE BV, 2008-05-10)
In this paper we introduce the “do not touch” condition for squares in the discrete plane. We say that two squares “do not
touch” if they do not share any vertex or any segment of an edge. Using this condition we define ...
Fluctuating commutative geometry
(World Scientific Publ Co Pte Ltd, 2003-11-20)
We use the framework of noncommutative geometry to define a discrete model for fluctuating geometry. Instead of considering ordinary geometry and its metric fluctuations, we consider generalized geometries where topology ...
A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions
(Springer, 2017-07)
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex ...
EXPLOITING SYMMETRY PROPERTIES OF THE DISCRETIZABLE MOLECULAR DISTANCE GEOMETRY PROBLEM
(Imperial College PressLondonInglaterra, 2012)
Assigned And Unassigned Distance Geometry: Applications To Biological Molecules And Nanostructures
(Springer HeidelbergHeidelberg, 2016)
Application of multidimensional scheme and the discrete ordinate method to radiative heat transfer in a two-dimensional enclosure with diffusely emitting and reflecting boundary walls
(Pergamon-elsevier Science LtdOxfordInglaterra, 2004)
Discretization Vertex Orders In Distance Geometry
(Elsevier, 2015)
Discretization orders for distance geometry problems
(Springer HeidelbergHeidelbergAlemanha, 2012)
Riemannian Submersions with Discrete Spectrum
(SPRINGERNEW YORK, 2012)
We prove some estimates on the spectrum of the Laplacian of the total space of a Riemannian submersion in terms of the spectrum of the Laplacian of the base and the geometry of the fibers. When the fibers of the submersions ...