SelectedWorks - Chris Bernhardt

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Selected Works of Chris Bernhardt

Retired, Professor of Mathematics

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About Chris Bernhardt

Present	Retired, Professor of Mathematics & Computer Science, Fairfield University
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Physical Sciences and Mathematics, Computer Sciences, Mathematics, Discrete Mathematics and Combinatorics, and Dynamical Systems

o: Bannow Science Center Rm 12
p: (203) 254-4000 x2516

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Articles (6)

Book

Turing's Vision: The Birth of Computer Science

Mathematics Faculty Book Gallery (2016)

Christopher R. Bernhardt

Book description: In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he ...

Article

Vertex maps on graphs-trace theorems

Fixed Point Theory and Applications (2011)

Chris Bernhardt

The paper proves two theorems concerning the traces of Oriented Markov Matrices of vertex maps on graphs. These are then ...

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Article

Evil twins alternate with odious twins

Mathematics Magazine (2009)

Chris Bernhardt

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Article

Vertex Maps for Trees: Algebra and Periods of Periodic Orbits

Discrete and Continuous Dynamical Systems (2006)

Chris Bernhardt

Let T be a tree with n vertices. Let f : T --> T be continuous and suppose that the ...

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Article

On the Ordering of N-Modal Cycles

Transactions of the American Mathematical Society (1996)

Chris Bernhardt

The forcing relation on n-modal cycles is studied. If alpha is an n-modal cycle then the n-modal cycles with block ...

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Article

Comparing Periodic Orbits of Maps of the Interval

Transactions of the American Mathematical Society (1992)

Chris Bernhardt, E. Coven, M. Misiurewicz and Irene Mulvey

Let pi and theta be cyclic permutations of finite ordered sets. We say that pi forces theta if every continuous ...

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About Chris Bernhardt

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Articles (6)