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We study several fairness notions in allocating indivisible chores (i.e., items with non-positive utilities) to agents, who have additive and submodular cost functions. The fairness criteria we are co...
The brain’s cerebral cortex produces perception based on the sensory information it’s fed through a region called the thalamus.
More than 100 Cornell researchers from Cornell's Ithaca campus and Weill Cornell Medicine gathered for a two-day workshop in mid-October to discuss structural biology, which encompasses research explo...
What’s the link between social life and brain structure? Researchers from the University of Pennsylvania, the Stem Cell and Brain Research Institute at Inserm, and elsewhere are now one step closer to...
The National Science Foundation (NSF) has made eight awards totaling $41.7 million for projects aimed at building capacity to research a national priority area: understanding the relationship in organ...
An important well-known result of Rota describes the relationship between the M¨obius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of...
This paper proves limit theorems for the number of monochromatic edges in uniform random colorings of general random graphs. The limit theorems are universal depending solely on the limiting behavior ...
Seamounts attract the attention of physical oceanographers for a variety of reasons: seamounts play a special role in ocean biology; they may be hydrothermally and magmatically active and thereby feed...
The focus of this paper is on proportional reasoning, emphasising its pervasiveness throughout the mathematics curriculum, but also highlighting its elusiveness.
Some invariant tensors in two Naveira classes of Riemannian product manifolds are considered. These tensors are related with natural connections, i.e. linear connections preserving the Riemannian metr...
Motivated to study the geometry of the exotic spheres constructed in [5], we derive a necessary condition for non-negative sectional curvature in certain total spaces of Riemannian submersions with to...
In this paper, we describe the space of adapted connections on a metric contact manifold through the space of their torsion tensors. The torsion tensor is an element of the space of TM-valued two-form...
Abstract: We construct Yang-Mills connections on SO(n)-bundles over spheres equipped with the Euclidean metric. We use a cohomogeneity one group action on the bundle to reduce the Yang-Mills-equation ...
Abstract: We study the irreducible decomposition under Sp(2n, R) of the space of torsion tensors of almost symplectic connections. Then a description of all symplectic quadratic invariants of torsion-...
Abstract: The paper introduces the recent results related to an entropy functional on trajectories of a controlled diffusion process, and the information path functional (IPF), analyzing their connect...

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