Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach into the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 − h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamic is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We prove also that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach into the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 − h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamic is also considered for a gas of fractons (h,ν) with a contant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We prove also that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 −h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamics is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We also prove that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 −h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamics is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We also prove that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 −h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamics is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We also prove that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 −h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamics is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We also prove that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 2000
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 −h shows us that the filling factors for which the FQHE were observed just appear into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamics is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We also prove that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 −h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamics is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We also prove that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach into the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 − h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamic is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We prove also that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Caixa Postal, Typeset Using Revtex · 1999
Fractons are anyons classified into equivalence classes and they obey a specific fractal statistics. The equivalence classes are labeled by a fractal parameter or Hausdorff dimension h. We consider this approach in the context of the Fractional Quantum Hall Effect ( FQHE) and the concept of duality between such classes, defined by ˜ h = 3 −h shows us that the filling factors for which the FQHE were observed just appears into these classes. A connection between equivalence classes h and the modular group for the quantum phase transitions of the FQHE is also obtained. A β−function is defined for a complex conductivity which embodies the classes h. The thermodynamics is also considered for a gas of fractons (h,ν) with a constant density of states and an exact equation of state is obtained at low-temperature and low-density limits. We also prove that the Farey sequences for rational numbers can be expressed in terms of the equivalence classes h.
Cited by 0
Schmidt, Eric, Hulpke, Alexander, Achter, Jeff et al. · Colorado State University · 2010
We prove some results about the structure of SL2(Z) and related groups. We define modular forms for this group and develop the basic theory. We then use the theory of lattices to construct examples of modular forms.
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Schmidt, Eric, author, Hulpke, Alexander, advisor, Achter, Jeff, committee member et al. · Digital Collections of Colorado (Colorado State University) · 2022
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Steven H. Weintraub · Graduate studies in mathematics · 2003
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Bruno Schoeneberg · 1974
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Helmut Klingen · Cambridge University Press eBooks · 1990
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
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M. Ram Murty, Michael Dewar, Hester Graves · HBA lecture notes in mathematics · 2016
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Stephen Sprague · 1976
Model pot with lid (B610 b). Pot tapers near the bottom, widens at the centre, and tapers near the top creating a rounded lip. The pot is red, possibly from being dipped in red clay slip. There is a thick chalky line painted around the widest part of the pot around the middle. There are chalky dots painted around the neck of the pot. The pot has a rounded bottom.; The big size is called gagri. It is used to keep drinking water.
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Joseph Lehner · Mathematical surveys and monographs · 1964
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Henri Cohen, Fredrik Strömberg · Graduate studies in mathematics · 2017
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Tom M. Apostol · Graduate texts in mathematics · 1990
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