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- RubÃ©n J. SÃ¡nchez-GarcÃa, Max Fennelly, +4 authors Janusz W. Bialek
- IEEE Transactions on Power Systems
- 2014

A power transmission system can be represented by a network with nodes and links representing buses and electrical transmission lines, respectively. Each line can be given a weight, representing someâ€¦ (More)

- Jacek Brodzki
- 2010

We develop a new framework for cohomology of discrete metric spaces and groups which simultaneously generalises group cohomology, Roeâ€™s coarse cohomology, Gerstenâ€™s `â€“cohomology and Johnsonâ€™s boundedâ€¦ (More)

- Jacek Brodzki, Roger Plymen
- 2002

Let G denote the p-adic group GL(n), let Î (G) denote the smooth dual of G, let Î (Î©) denote a Bernstein component of Î (G) and let H(Î©) denote a Bernstein ideal in the Hecke algebra H(G). With the aidâ€¦ (More)

- Jacek Brodzki, R. J. Plymen
- 2000

Let A(n) be the smooth dual of the p-adic group G = GL(n). We create on A(n) the structure of a complex algebraic variety. There is a morphism of A(n) onto the Bernstein variety Î©G which is injectiveâ€¦ (More)

- Jacek Brodzki
- 2002

We present a brief introduction to Hochschild and cyclic homology designed for researchers interested in pseudodifferential operators and their applications to index theory, spectral invariants, andâ€¦ (More)

- Francisco J. Belchi, Mariam Pirashvili, Joy Conway, Michael John Bennett, Ratko DjukanoviÄ‡, Jacek Brodzki
- Scientific Reports
- 2018

Quantitative features that can currently be obtained from medical imaging do not provide a complete picture of Chronic Obstructive Pulmonary Disease (COPD). In this paper, we introduce a novelâ€¦ (More)

- Mariam Pirashvili, Lee Steinberg, Francisco Belchi Guillamon, Mahesan Niranjan, Jeremy G. Frey, Jacek Brodzki
- J. Cheminformatics
- 2018

Topological data analysis is a family of recent mathematical techniques seeking to understand the 'shape' of data, and has been used to understand the structure of the descriptor space produced fromâ€¦ (More)

- Jacek Brodzki
- 2016

We study the periodic cyclic homology groups of the cross-product of a finite type algebra A by a discrete group Î“. In case A is commutative and Î“ is finite, our results are complete and given inâ€¦ (More)

We present a new categorical classification framework for D-brane charges on noncommutative manifolds using methods of bivariant K-theory. We describe several applications including an explicitâ€¦ (More)

We compute the entire cyclic homology and cohomology of the Schatten ideals L. Dedicated to Victor Snaith on the occasion of his 60-th birthday.