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Geometric Realizations of Tamari Interval Lattices Via Cubic Coordinates
We introduce cubic coordinates, which are integer words encoding intervals in the Tamari lattices. Cubic coordinates are in bijection with...
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Rational homogeneous spaces as geometric realizations of birational transformations
In this paper we study geometric realizations of some classic birational maps, such as inversion maps, special Cremona transformations, special...
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Geometric realizations of birational transformations via \({{\mathbb {C}}}^*\)-actions
In this paper, we study varieties admitting torus actions as geometric realizations of birational transformations. We present an explicit...
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Proper connective differential graded algebras and their geometric realizations
We show that every proper connective dg algebra A admits a geometric realization (as defined by Orlov) by a smooth projective scheme with a full...
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Classification of the Realizations of Lie Algebras for the Vector Fields on a Circle
We describe the realizations of finite-dimensional Lie algebras of smooth tangential vector fields on a circle and construct “canonical” realizations...
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A geometric construction for spectrally arbitrary sign pattern matrices and the 2n-conjecture
We develop a geometric method for studying the spectral arbitrariness of a given sign pattern matrix. The method also provides a computational way of...
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On Geometric Realization of the General Manakov System
It is well-known that the general Manakov system is a 2-components nonlinear Schrödinger equation with 4 nonzero real parameters. The analytic...
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Basic Ideas of Geometric Sampling
Most of the material in Chapter 1 is concerned with integral-geometric formulae for motion-invariant...
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HALF POTENTIAL ON GEOMETRIC CRYSTALS AND CONNECTEDNESS OF CELLULAR CRYSTALS
For any simply connected, simple complex algebraic group, we define upper/lower half-decorated geometric crystals and show that their tropicalization...
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Efficient realizations of closure systems
As is well-known, the subalgebras of any universal algebra form an algebraic closure system. Conversely, every algebraic closure system arises as the...
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Algorithmic Modeling for Complex Vaults in Vittone’s Civil Architecture Between Archival Drawings and Realizations
The paper describes a work of geometric analysis, shape interpretation, and algorithmic modeling on the intradossal conformation of compound vaults...
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Geometric multidimensional scaling: efficient approach for data dimensionality reduction
Multidimensional scaling (MDS) is an often-used method to reduce the dimensionality of multidimensional data nonlinearly and to present the data...
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Stochastic algorithms with geometric step decay converge linearly on sharp functions
Stochastic (sub)gradient methods require step size schedule tuning to perform well in practice. Classical tuning strategies decay the step size...
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The Schwarzian Octahedron Recurrence (dSKP Equation) II: Geometric Systems
We consider nine geometric systems: Miquel dynamics, P-nets, integrable cross-ratio maps, discrete holomorphic functions, orthogonal circle patterns,...
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On Graphs and M-Equivalence
We present the isomorphic classification of free topological groups over the spaces, which are geometric realizations of finite graphs.
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Practical Basis of the Geometric Mean Fitness and its Application to Risk-Spreading Behavior
Temporal variations in population size under unpredictable environments are of primary concern in evolutionary ecology, where time scale enters as an...
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Inexact penalty decomposition methods for optimization problems with geometric constraints
This paper provides a theoretical and numerical investigation of a penalty decomposition scheme for the solution of optimization problems with...
