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Title:

of cathepsin B ��

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Description:

Fluorogenic peptide substrates for carboxydipeptidase activity

Fluorogenic peptide substrates for carboxydipeptidase activity Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-08-25

Source:

http://www.actabp.pl/pdf/1_2004/81.pdf

http://www.actabp.pl/pdf/1_2004/81.pdf Minimize

Document Type:

text

Language:

en

Subjects:

DMF ; dimethylformamide ; Me 2SO ; dimethyl sulfoxide ; E-64 ; trans-epoxysuccinyl-L-leucylamido(4-guanidino)butane

DMF ; dimethylformamide ; Me 2SO ; dimethyl sulfoxide ; E-64 ; trans-epoxysuccinyl-L-leucylamido(4-guanidino)butane Minimize

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Title:

Molekulare Pathogenese von CADASIL

Publisher:

Ludwig-Maximilians-Universität München

Year of Publication:

2009-02-19

Document Type:

Dissertation ; NonPeerReviewed

Subjects:

Medizinische Fakultät

Medizinische Fakultät Minimize

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http://edoc.ub.uni-muenchen.de/9759/

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Title:

Dimension properties of the boundaries of exponential basins

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Description:

We prove that the boundary of a component U of the basin of an attracting periodic cycle (of period greater than 1) for an exponential map on the complex plane has Hausdorff dimension greater than 1 and less than 2. Moreover, the set of points in the boundary of U that do not escape to infinity has Hausdorff dimension (in fact hyperbolic dim...

We prove that the boundary of a component U of the basin of an attracting periodic cycle (of period greater than 1) for an exponential map on the complex plane has Hausdorff dimension greater than 1 and less than 2. Moreover, the set of points in the boundary of U that do not escape to infinity has Hausdorff dimension (in fact hyperbolic dimension) greater than 1, while the set of points in the boundary of U that escape to infinity has Hausdorff dimension 1. Minimize

Publisher:

Oxford University Press

Year of Publication:

2010-02-05 06:31:05.0

Document Type:

TEXT

Language:

en

Subjects:

Article

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Rights:

Copyright (C) 2010, London Mathematical Society

Copyright (C) 2010, London Mathematical Society Minimize

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Title:

Hyperbolic Dimension of Julia Sets of Meromorphic Maps with Logarithmic Tracts

Author:

Description:

We prove that for meromorphic maps with logarithmic tracts (in particular, for transcendental maps in the class <f> </f>, which are entire or meromorphic with a finite number of poles), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1. Hence, the hyperbolic dimension of the Julia set is great...

We prove that for meromorphic maps with logarithmic tracts (in particular, for transcendental maps in the class <f> </f>, which are entire or meromorphic with a finite number of poles), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1. Hence, the hyperbolic dimension of the Julia set is greater than 1. Minimize

Publisher:

Oxford University Press

Year of Publication:

2008-11-28 01:38:33.0

Document Type:

TEXT

Language:

en

Subjects:

Research Articles

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Copyright (C) 2008, Oxford University Press

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Title:

Hyperbolic Dimension of Julia Sets of Meromorphic Maps with Logarithmic Tracts

Author:

Description:

We prove that for meromorphic maps with logarithmic tracts (in particular, for transcendental maps in the class <f> </f>, which are entire or meromorphic with a finite number of poles), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1. Hence, the hyperbolic dimension of the Julia set is great...

We prove that for meromorphic maps with logarithmic tracts (in particular, for transcendental maps in the class <f> </f>, which are entire or meromorphic with a finite number of poles), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1. Hence, the hyperbolic dimension of the Julia set is greater than 1. Minimize

Publisher:

Oxford University Press

Year of Publication:

2009-02-05 08:24:37.0

Document Type:

TEXT

Language:

en

Subjects:

Research Article

Research Article Minimize

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Copyright (C) 2009, Oxford University Press

Copyright (C) 2009, Oxford University Press Minimize

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Title:

Hyperbolic Dimension of Julia Sets of Meromorphic Maps with Logarithmic Tracts

Author:

Description:

We prove that for meromorphic maps with logarithmic tracts (in particular, for transcendental maps in the class <f> </f>, which are entire or meromorphic with a finite number of poles), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1. Hence, the hyperbolic dimension of the Julia set is great...

We prove that for meromorphic maps with logarithmic tracts (in particular, for transcendental maps in the class <f> </f>, which are entire or meromorphic with a finite number of poles), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1. Hence, the hyperbolic dimension of the Julia set is greater than 1. Minimize

Publisher:

Oxford University Press

Year of Publication:

2009-02-18 10:59:42.0

Document Type:

TEXT

Language:

en

Subjects:

Article

Article Minimize

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Copyright (C) 2009, Oxford University Press

Copyright (C) 2009, Oxford University Press Minimize

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Title:

Dimension properties of the boundaries of exponential basins

Author:

Description:

We prove that the boundary of a component U of the basin of an attracting periodic cycle (of period greater than 1) for an exponential map on the complex plane has Hausdorff dimension greater than 1 and less than 2. Moreover, the set of points in the boundary of U that do not escape to infinity has Hausdorff dimension (in fact hyperbolic dim...

We prove that the boundary of a component U of the basin of an attracting periodic cycle (of period greater than 1) for an exponential map on the complex plane has Hausdorff dimension greater than 1 and less than 2. Moreover, the set of points in the boundary of U that do not escape to infinity has Hausdorff dimension (in fact hyperbolic dimension) greater than 1, while the set of points in the boundary of U that escape to infinity has Hausdorff dimension 1. Minimize

Publisher:

Oxford University Press

Year of Publication:

2010-04-01 00:00:00.0

Document Type:

TEXT

Language:

en

Subjects:

PAPERS

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Copyright (C) 2010, London Mathematical Society

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Title:

Hyperbolic dimension of Julia sets of meromorphic maps with logarithmic tracts

Author:

Description:

We prove that for meromorphic maps with logarithmic tracts (e.g. entire or meromorphic maps with a finite number of poles from class $\mathcal B$), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1. Hence, the hyperbolic dimension of the Julia set is greater than 1. ; Comment: 7 pages, 1 figure

We prove that for meromorphic maps with logarithmic tracts (e.g. entire or meromorphic maps with a finite number of poles from class $\mathcal B$), the Julia set contains a compact invariant hyperbolic Cantor set of Hausdorff dimension greater than 1. Hence, the hyperbolic dimension of the Julia set is greater than 1. ; Comment: 7 pages, 1 figure Minimize

Year of Publication:

2007-11-16

Document Type:

text

Subjects:

Mathematics - Dynamical Systems ; 37F10 ; 37F35 ; 30D40 ; 28A80

Mathematics - Dynamical Systems ; 37F10 ; 37F35 ; 30D40 ; 28A80 Minimize

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Title:

Bowen's formula for meromorphic functions

Author:

Description:

Let $f$ be an arbitrary transcendental entire or meromorphic function in the class $\mathcal S$ (i.e. with finitely many singularities). We show that the topological pressure $P(f,t)$ for $t > 0$ can be defined as the common value of the pressures $P(f,t, z)$ for all $z \in \mathbb C$ up to a set of Hausdorff dimension zero. Moreover, we prove t...

Let $f$ be an arbitrary transcendental entire or meromorphic function in the class $\mathcal S$ (i.e. with finitely many singularities). We show that the topological pressure $P(f,t)$ for $t > 0$ can be defined as the common value of the pressures $P(f,t, z)$ for all $z \in \mathbb C$ up to a set of Hausdorff dimension zero. Moreover, we prove that $P(f,t)$ equals the supremum of the pressures of $f|_X$ over all invariant hyperbolic subsets $X$ of the Julia set, and we prove Bowen's formula for $f$, i.e. we show that the Hausdorff dimension of the radial Julia set of $f$ is equal to the infimum of the set of $t$, for which $P(f,t)$ is non-positive. Similar results hold for (non-exceptional) transcendental entire or meromorphic functions $f$ in the class $\mathcal B$ (i.e. with bounded set of singularities), for which the closure of the post-singular set does not contain the Julia set. ; Comment: 26 pages Minimize

Year of Publication:

2010-07-22

Document Type:

text

Subjects:

Mathematics - Dynamical Systems ; Primary 37F10 ; 37F35

Mathematics - Dynamical Systems ; Primary 37F10 ; 37F35 Minimize

DDC:

511 General principles of mathematics *(computed)*

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Title:

Dimension properties of the boundaries of exponential basins

Author:

Description:

We prove that the boundary of a component $U$ of the basin of an attracting periodic cycle (of period greater than 1) for an exponential map on the complex plane has Hausdorff dimension greater than 1 and less than 2. Moreover, the set of points in the boundary of $U$ which do not escape to infinity has Hausdorff dimension (in fact: hyperbolic d...

We prove that the boundary of a component $U$ of the basin of an attracting periodic cycle (of period greater than 1) for an exponential map on the complex plane has Hausdorff dimension greater than 1 and less than 2. Moreover, the set of points in the boundary of $U$ which do not escape to infinity has Hausdorff dimension (in fact: hyperbolic dimension) greater than 1, while the set of points in the boundary of $U$ which escape to infinity has Hausdorff dimension 1. ; Comment: 13 pages, 1 figure Minimize

Year of Publication:

2009-02-06

Document Type:

text

Subjects:

Mathematics - Dynamical Systems ; 37F10 ; 37F35 ; 30D40 ; 28A80

Mathematics - Dynamical Systems ; 37F10 ; 37F35 ; 30D40 ; 28A80 Minimize

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