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Estimating the Matthew Effects: Switching Pareto Dynamics
Pareto distributions can describe the clustering of observations and give rise to sayings such as ‘The rich gets richer and the poor gets poorer’....
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A Note on the Global Dimension of Shifted Orders
We consider the dominant dimension of an order over a Cohen-Macaulay ring in the category of centrally Cohen-Macaulay modules. There is a canonical...
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Cohen–Macaulay Fiber Cones and Defining Ideal of Rees Algebras of Modules
Generic Bourbaki ideals were introduced by Simis, Ulrich and Vasconcelos in Simis et al. (Proc Lond Math Soc 87:610–646, 2003) to study the...
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Neurocognitive Interventions to Foster Mathematical Learning
In our exceedingly technical world, numeracy is recognized as an essential skill to meet everyday demands of life. However, poor numeracy and severe...
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Neurocognitive Interventions to Foster Mathematical Learning
In our exceedingly technical world, numeracy is recognized as an essential skill to meet everyday demands of life. However, poor numeracy and severe...
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Move schedules: fast persistence computations in coarse dynamic settings
Matrix reduction is the standard procedure for computing the persistent homology of a filtered simplicial complex with m simplices. Its output is a...
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McKay Quivers and Lusztig Algebras of Some Finite Groups
We are interested in the McKay quiver Γ( G ) and skew group rings A ∗ G , where G is a finite subgroup of GL( V ), where V is a finite dimensional vector...
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Introduction to Views from Other Domains
The study of mathematical practice has always been an interdisciplinary enterprise and is not confined to history and philosophy. Important...
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Introduction to Views from Other Domains
The study of mathematical practice has always been an interdisciplinary enterprise and is not confined to history and philosophy. Important...
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The Emergence of Cognition and Computation: A Physicalistic Perspective
A physicalistic argument can support the idea that cognition is an emergent property driven by dissipation. This argument suggests that cognition...
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Maximal persistence in random clique complexes
We study the persistent homology of an Erdős–Rényi random clique complex filtration on n vertices. Here, each edge e appears independently at a...
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On Quiver Grassmannians and Orbit Closures for Gen-Finite Modules
We show that endomorphism rings of cogenerators in the module category of a finite-dimensional algebra A admit a canonical tilting module, whose...
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Topological structure of the space of composition operators on \(L^{\!\infty }\) of an unbounded, locally finite metric space
We study properties of the topological space of composition operators on the Banach algebra of bounded functions on an unbounded, locally finite...
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Proportion and Ratio in Palladio’s Redentore
A recent survey was undertaken of the church interior at Palladio’s Il Redentore in Venice, using contemporary laser technology. The survey findings...
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On Ramanujan sums of a real variable and a new Ramanujan expansion for the divisor function
We show that the absolute convergence of a Ramanujan expansion does not guarantee the convergence of its real variable generalization, which is...
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John Benedetto’s Mathematical Work
John Joseph Benedetto (JB) has been at the University of Maryland, College Park, since 1965. In this chapter, I will submit data that attests to JB’s...
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The Impact of Contact Structure and Mixing on Control Measures and Disease-Induced Herd Immunity in Epidemic Models: A Mean-Field Model Perspective
The contact structure of a population plays an important role in transmission of infection. Many ‘structured models’ capture aspects of the contact...
