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Geometry and field theory in multi-fractional spacetime
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
inferredcites →https://doi.org/10.1006/aama.1995.1007openalex-snapshot
Multifractal Formalism for Infinite Multinomial Measures
inferredcites →https://doi.org/10.1006/aphy.1995.1092openalex-snapshot
Classical and Quantum Mechanics of Free κ-Relativistic Systems
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An Improved Multifractal Formalism and Self-Similar Measures
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Principles of Equivalence: Their Role in Gravitation Physics and Experiments That Test Them
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Fractal Geometry, Complex Dimensions and Zeta Functions
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Generalized Multifractional Brownian Motion: Definition and Preliminary Results
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Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions
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Stochastic Calculus for Fractional Brownian Motion and Related Processes
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inferredcites →https://doi.org/10.1007/bf02097233openalex-snapshot
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Huyghens’ principle in (2n+1) dimensions for nonlocal pseudodifferential operators of the type □α
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Dimensional renorinalization : The number of dimensions as a regularizing parameter
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Liouville quantum gravity and KPZ
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Formulation of Hamiltonian Equations for Fractional Variational Problems
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Scale Relativity and Fractal Space-Time: Theory and Applications
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Gravitation and cosmology
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Quantum gravity in 2 + ε dimensions
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Summing over all genera for d > 1: a toy model
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q-deformation of Poincaré algebra
inferredcites →https://doi.org/10.1016/0370-2693(92)90894-aopenalex-snapshot
New quantum Poincaré algebra and κ-deformed field theory
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Observing 4d baby universes in quantum gravity
inferredcites →https://doi.org/10.1016/0370-2693(93)91131-6openalex-snapshot
Transfer matrix formalism for two-dimensional quantum gravity and fractal structures of space-time
inferredcites →https://doi.org/10.1016/0370-2693(94)90699-8openalex-snapshot
Bicrossproduct structure of κ-Poincare group and non-commutative geometry
inferredcites →https://doi.org/10.1016/0370-2693(94)90759-5openalex-snapshot
Quantum in any dimension
inferredcites →https://doi.org/10.1016/0370-2693(94)91480-xopenalex-snapshot
Phase structure of four dimensional simplicial quantum gravity
inferredcites →https://doi.org/10.1016/0375-9601(83)90753-3openalex-snapshot
Generalized dimensions of strange attractors
inferredcites →https://doi.org/10.1016/0375-9601(96)00418-5openalex-snapshot
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Conformal field theory and 2D quantum gravity
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Renormalization group and quantum gravity
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The ϵ-expansion of two-dimensional quantum gravity
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inferredcites →https://doi.org/10.1016/0550-3213(93)90594-fopenalex-snapshot
Ultraviolet stable fixed point and scaling relations in (2 + ϵ)-dimensional quantum gravity
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Curvature and scaling in 4D dynamical triangulation
inferredcites →https://doi.org/10.1016/0550-3213(95)00071-yopenalex-snapshot
Two-loop renormalization in quantum gravity near two dimensions
inferredcites →https://doi.org/10.1016/0550-3213(95)00154-kopenalex-snapshot
Scaling in quantum gravity
inferredcites →https://doi.org/10.1016/0550-3213(95)00303-aopenalex-snapshot
Scaling in four-dimensional quantum gravity
inferredcites →https://doi.org/10.1016/0550-3213(95)00468-8openalex-snapshot
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inferredcites →https://doi.org/10.1016/j.aop.2005.06.004openalex-snapshot
Lorentz violation at high energy: Concepts, phenomena, and astrophysical constraints
inferredcites →https://doi.org/10.1016/j.aop.2008.04.005openalex-snapshot
Fractional vector calculus and fractional Maxwell’s equations
inferredcites →https://doi.org/10.1016/j.cnsns.2006.06.001openalex-snapshot
Fractional dynamics and the TeV regime of field theory
inferredcites →https://doi.org/10.1016/j.jfa.2009.11.001openalex-snapshot
Spectral asymptotics for Laplacians on self-similar sets
inferredcites →https://doi.org/10.1016/j.jmaa.2008.03.061openalex-snapshot
Space–time fractional Schrödinger equation with time-independent potentials
inferredcites →https://doi.org/10.1016/j.jnoncrysol.2005.05.035openalex-snapshot
Is there geometrical/physical meaning of the fractional integral with complex exponent?
inferredcites →https://doi.org/10.1016/j.physa.2005.08.005openalex-snapshot
Fractional derivative quantum fields at positive temperature
inferredcites →https://doi.org/10.1016/j.physleta.2004.02.073openalex-snapshot
Stochastic quantization of nonlocal fields
inferredcites →https://doi.org/10.1016/j.physleta.2008.06.063openalex-snapshot
Gauge invariance in fractional field theories
inferredcites →https://doi.org/10.1016/j.physletb.2009.08.013openalex-snapshot
Random versus holographic fluctuations of the background metric. I. (Cosmological) running of space–time dimension
inferredcites →https://doi.org/10.1016/j.physletb.2010.05.054openalex-snapshot
CDT meets Hořava–Lifshitz gravity
inferredcites →https://doi.org/10.1016/j.physletb.2011.01.063openalex-snapshot
Gravity on a multifractal
inferredcites →https://doi.org/10.1016/s0022-247x(02)00180-4openalex-snapshot
Formulation of Euler–Lagrange equations for fractional variational problems
inferredcites →https://doi.org/10.1016/s0167-2789(99)00204-3openalex-snapshot
Punctuated vortex coalescence and discrete scale invariance in two-dimensional turbulence
inferredcites →https://doi.org/10.1016/s0304-0208(06)x8001-5openalex-snapshot
Theory and Applications of Fractional Differential Equations
inferredcites →https://doi.org/10.1016/s0362-546x(01)00646-0openalex-snapshot
The differentiability in the fractional calculus
inferredcites →https://doi.org/10.1016/s0370-1573(00)00137-xopenalex-snapshot
Exact renormalization group equations: an introductory review
inferredcites →https://doi.org/10.1016/s0370-1573(01)00098-9openalex-snapshot
Non-perturbative renormalization flow in quantum field theory and statistical physics
inferredcites →https://doi.org/10.1016/s0370-1573(97)00076-8openalex-snapshot
Discrete-scale invariance and complex dimensions
inferredcites →https://doi.org/10.1016/s0370-2693(01)00506-8openalex-snapshot
Testable scenario for relativity with minimum length
inferredcites →https://doi.org/10.1016/s0370-2693(01)01264-3openalex-snapshot
Deformed boost transformations that saturate at the Planck scale
inferredcites →https://doi.org/10.1016/s0370-2693(97)00183-4openalex-snapshot
Quantum geometry of topological gravity
inferredcites →https://doi.org/10.1016/s0370-2693(98)00055-0openalex-snapshot
The spectral dimension of non-generic branched polymer ensembles
inferredcites →https://doi.org/10.1016/s0370-2693(98)01375-6openalex-snapshot
Fractal geometry of quantum spacetime at large scales
inferredcites →https://doi.org/10.1016/s0375-9601(00)00448-5openalex-snapshot
Fractional integrals and fractal structure of memory sets
inferredcites →https://doi.org/10.1016/s0375-9601(01)00544-8openalex-snapshot
Determination of memory function and flux on fractals
inferredcites →https://doi.org/10.1016/s0375-9601(99)00316-3openalex-snapshot
Flux and memory measure on net fractals
inferredcites →https://doi.org/10.1016/s0378-4371(97)00353-1openalex-snapshot
The relationship between the fractional integral and the fractal structure of a memory set
inferredcites →https://doi.org/10.1016/s0550-3213(97)00659-7openalex-snapshot
The quantum space-time of c = −2 gravity
inferredcites →https://doi.org/10.1016/s0550-3213(98)00027-3openalex-snapshot
The spectral dimension of the branched polymer phase of two-dimensional quantum gravity
inferredcites →https://doi.org/10.1016/s0764-4442(98)80116-xopenalex-snapshot
Interprétation géométrique de la différentiabilité et du gradient d'ordre réel
inferredcites →https://doi.org/10.1016/s0920-5632(97)00888-8openalex-snapshot
Common structures in 2,3 and 4D simplicial quantum gravity
inferredcites →https://doi.org/10.1016/s0960-0779(02)00211-4openalex-snapshot
Integrals and derivatives on net fractals
inferredcites →https://doi.org/10.1017/cbo9780511575549.032openalex-snapshot
Lorentz invariance violation and its role in Quantum Gravity phenomenology
inferredcites →https://doi.org/10.1017/cbo9780511622656openalex-snapshot
Renormalization An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion
inferredcites →https://doi.org/10.1017/cbo9780511920998.004openalex-snapshot
The small-scale structure of spacetime
inferredcites →https://doi.org/10.1017/cbo9781139644167openalex-snapshot
The Quantum Theory of Fields
inferredcites →https://doi.org/10.1017/cbo9781139644174openalex-snapshot
The Quantum Theory of Fields
inferredcites →https://doi.org/10.1017/cbo9781316036440openalex-snapshot
Scaling and Renormalization in Statistical Physics
inferredcites →https://doi.org/10.1023/a:1009901714819openalex-snapshot
The Generalized Multifractional Brownian Motion
inferredcites →https://doi.org/10.1023/a:1026696132216openalex-snapshot
Lorentz-Invariant Pseudo-Differential Wave Equations
inferredcites →https://doi.org/10.1023/b:pota.0000021338.29389.6dopenalex-snapshot
A Note on the Diamond Fractal
inferredcites →https://doi.org/10.1049/sqj.1966.0063openalex-snapshot
Quantum Mechanics and Path Integrals
inferredcites →https://doi.org/10.1051/0004-6361/200811565openalex-snapshot
Breaking the self-averaging properties of spatial galaxy fluctuations in the Sloan Digital Sky Survey – Data release six
inferredcites →https://doi.org/10.1051/0004-6361/200811565/pdfopenalex-snapshot
Breaking the self-averaging properties of spatial galaxy fluctuations in the Sloan Digital Sky Survey – Data release six
inferredcites →https://doi.org/10.1051/0004-6361/200911987openalex-snapshot
Absence of anti-correlations and of baryon acoustic oscillations in the galaxy correlation function from the Sloan Digital Sky Survey data release 7
inferredcites →https://doi.org/10.1051/0004-6361/200911987/pdfopenalex-snapshot
Absence of anti-correlations and of baryon acoustic oscillations in the galaxy correlation function from the Sloan Digital Sky Survey data release 7
inferredcites →https://doi.org/10.1051/0004-6361:20053658openalex-snapshot
Basic properties of galaxy clustering in the light of recent results from the Sloan Digital Sky Survey
inferredcites →https://doi.org/10.1051/0004-6361:20053658/pdfopenalex-snapshot
Basic properties of galaxy clustering in the light of recent results from the Sloan Digital Sky Survey
inferredcites →https://doi.org/10.1051/0004-6361:200810575openalex-snapshot
Large-scale fluctuations in the distribution of galaxies from the two-degree galaxy redshift survey
inferredcites →https://doi.org/10.1051/jphys:019810042080107500openalex-snapshot
The Yang-Lee edge singularity studied by a four-level quantum renormalization-group blocking method
inferredcites →https://doi.org/10.1051/jphyslet:019820043017062500openalex-snapshot
Density of states on fractals : « fractons »
inferredcites →https://doi.org/10.1063/1.1633491openalex-snapshot
Fractional generalization of Liouville equations
inferredcites →https://doi.org/10.1063/1.166054openalex-snapshot
Renormalization group theory of anomalous transport in systems with Hamiltonian chaos
inferredcites →https://doi.org/10.1063/1.1769611openalex-snapshot
Time fractional Schrödinger equation
inferredcites →https://doi.org/10.1063/1.2483292openalex-snapshot
Fractional embedding of differential operators and Lagrangian systems
inferredcites →https://doi.org/10.1063/1.2716203openalex-snapshot
Generalized fractional Schrödinger equation with space-time fractional derivatives
inferredcites →https://doi.org/10.1063/1.2929662openalex-snapshot
Fractional actionlike variational problems
inferredcites →https://doi.org/10.1063/1.3057034openalex-snapshot
Introduction to the Theory of Quantized Fields
inferredcites →https://doi.org/10.1063/1.3284402openalex-snapshot
Spontaneous Dimensional Reduction in Short-Distance Quantum Gravity?
inferredcites →https://doi.org/10.1063/1.3462744openalex-snapshot
Characterizing the large scale inhomogeneity of the galaxy distribution
inferredcites →https://doi.org/10.1063/1.523395openalex-snapshot
Axiomatic basis for spaces with noninteger dimension
inferredcites →https://doi.org/10.1063/1.530263openalex-snapshot
Arbitrary powers of D’Alembertians and the Huygens’ principle
inferredcites →https://doi.org/10.1063/1.531246openalex-snapshot
Dynamical triangulations, a gateway to quantum gravity?
inferredcites →https://doi.org/10.1063/1.882010openalex-snapshot
Scaling and Renormalization in Statistical Physics
inferredcites →https://doi.org/10.1073/pnas.78.6.3287openalex-snapshot
Random walks with self-similar clusters
inferredcites →https://doi.org/10.1080/00018737000101171openalex-snapshot
Oscillatory approach to a singular point in the relativistic cosmology
inferredcites →https://doi.org/10.1080/00018738200101428openalex-snapshot
A general solution of the Einstein equations with a time singularity
inferredcites →https://doi.org/10.1080/17476930802272978openalex-snapshot
Spectral operators on the Sierpinski gasket I
inferredcites →https://doi.org/10.1086/429084openalex-snapshot
Cosmic Homogeneity Demonstrated with Luminous Red Galaxies
inferredcites →https://doi.org/10.1088/0004-637x/694/1/151openalex-snapshot
THE COSMIC MICROWAVE BACKGROUND SPECTRUM AND AN UPPER LIMIT FOR FRACTAL SPACE DIMENSIONALITY
inferredcites →https://doi.org/10.1088/0031-8949/77/01/015101openalex-snapshot
Hamilton–Jacobi formulation of systems within Caputo's fractional derivative
inferredcites →https://doi.org/10.1088/0031-9112/31/4/029openalex-snapshot
General Relativity – An Einstein Centenary Survey
inferredcites →https://doi.org/10.1088/0264-9381/20/24/008openalex-snapshot
Comparison of relativity theories with observer-independent scales of both velocity and length/mass
inferredcites →https://doi.org/10.1088/0264-9381/26/24/242002openalex-snapshot
Fractal spacetime from the area spectrum
inferredcites →https://doi.org/10.1088/0264-9381/28/15/155005openalex-snapshot
Small Lorentz violations in quantum gravity: do they lead to unacceptably large effects?
inferredcites →https://doi.org/10.1088/0305-4470/16/9/012openalex-snapshot
Fractal space-time: a geometric analogue of relativistic quantum mechanics
inferredcites →https://doi.org/10.1088/0305-4470/19/18/034openalex-snapshot
Bounds for the fractal dimension of space
inferredcites →https://doi.org/10.1088/0305-4470/20/12/033openalex-snapshot
Quantum field theory on fractal spacetime: a new regularisation method
inferredcites →https://doi.org/10.1088/0305-4470/25/19/026openalex-snapshot
Canonical quantization of theories containing fractional powers of the d'Alembertian operator
inferredcites →https://doi.org/10.1088/0305-4470/30/15/036openalex-snapshot
Fractional integral associated to generalized cookie-cutter set and its physical interpretation
inferredcites →https://doi.org/10.1088/0305-4470/35/45/301openalex-snapshot
The spectral dimension of random trees
inferredcites →https://doi.org/10.1088/0305-4470/37/27/009openalex-snapshot
Equations of motion in a non-integer-dimensional space
inferredcites →https://doi.org/10.1088/0305-4470/38/26/007openalex-snapshot
Fractional generalization of gradient and Hamiltonian systems
inferredcites →https://doi.org/10.1088/0305-4470/8/6/011openalex-snapshot
Scaling representation for critical phenomena
inferredcites →https://doi.org/10.1088/1126-6708/1998/02/010openalex-snapshot
The spectral dimension of 2D quantum gravity
inferredcites →https://doi.org/10.1088/1126-6708/2005/10/050openalex-snapshot
Fractal spacetime structure in asymptotically safe gravity
inferredcites →https://doi.org/10.1088/1126-6708/2009/11/020openalex-snapshot
Renormalization group in Lifshitz-type theories
inferredcites →https://doi.org/10.1088/1742-6596/343/1/012048openalex-snapshot
Emergence of special and doubly special relativity from superstatistics path integrals
inferredcites →https://doi.org/10.1088/1742-6596/7/1/002openalex-snapshot
Fractional Liouville and BBGKI equations
inferredcites →https://doi.org/10.1088/1742-6596/96/1/012066openalex-snapshot
Analytic study on time-fractional Schrödinger equations: exact solutions by GDTM
inferredcites →https://doi.org/10.1090/s0002-9947-03-03171-4openalex-snapshot
Fractafolds based on the Sierpinski gasket and their spectra
inferredcites →https://doi.org/10.1090/s0002-9947-07-04150-5openalex-snapshot
Spectral zeta functions of fractals and the complex dynamics of polynomials
inferredcites →https://doi.org/10.1090/s0002-9947-1941-0004654-0openalex-snapshot
On a theorem of Schur and on fractional integrals on purely imaginary order
inferredcites →https://doi.org/10.1103/physrev.159.1106openalex-snapshot
Breakdown of Lorentz Invariance
inferredcites →https://doi.org/10.1103/physreva.33.1141openalex-snapshot
Fractal measures and their singularities: The characterization of strange sets
inferredcites →https://doi.org/10.1103/physreva.34.1601openalex-snapshot
Erratum: Fractal measures and their singularities: The characterization of strange sets [Phys. Rev. A33, 1141 (1986)]
inferredcites →https://doi.org/10.1103/physrevd.43.2617openalex-snapshot
Spacetime dimension from a variational principle
inferredcites →https://doi.org/10.1103/physrevd.60.123512openalex-snapshot
Model universe with variable space dimension: Its dynamics and wave function
inferredcites →https://doi.org/10.1103/physrevd.67.044017openalex-snapshot
Generalized Lorentz invariance with an invariant energy scale
inferredcites →https://doi.org/10.1103/physrevd.7.2911openalex-snapshot
Quantum Field - Theory Models in Less Than 4 Dimensions
inferredcites →https://doi.org/10.1103/physrevd.72.064014openalex-snapshot
Reconstructing the Universe
inferredcites →https://doi.org/10.1103/physrevd.73.084004openalex-snapshot
Trace anomaly on a quantum spacetime manifold
inferredcites →https://doi.org/10.1103/physrevd.76.104022openalex-snapshot
(2+1) -dimensional quantum gravity as the continuum limit of causal dynamical triangulations
inferredcites →https://doi.org/10.1103/physrevd.77.025010openalex-snapshot
Unexpected cancellations in gravity theories
inferredcites →https://doi.org/10.1103/physrevd.80.124036openalex-snapshot
Spectral geometry as a probe of quantum spacetime
inferredcites →https://doi.org/10.1103/physrevd.81.044006openalex-snapshot
Detailed balance in Hořava-Lifshitz gravity
inferredcites →https://doi.org/10.1103/physrevd.81.104040openalex-snapshot
Spectral dimension of a quantum universe
inferredcites →https://doi.org/10.1103/physrevd.83.024017openalex-snapshot
Hausdorff dimension of a particle path in a quantum manifold
inferredcites →https://doi.org/10.1103/physrevd.83.114046openalex-snapshot
Searching for the layered structure of space at the LHC
inferredcites →https://doi.org/10.1103/physrevd.84.061501openalex-snapshot
Discrete to continuum transition in multifractal spacetimes
inferredcites →https://doi.org/10.1103/physrevd.84.125002openalex-snapshot
Fractional and noncommutative spacetimes
inferredcites →https://doi.org/10.1103/physrevd.86.025029openalex-snapshot
Emergence of special and doubly special relativity
inferredcites →https://doi.org/10.1103/physrevd.86.044005openalex-snapshot
Super-renormalizable quantum gravity
inferredcites →https://doi.org/10.1103/physreve.53.1890openalex-snapshot
Nonconservative Lagrangian and Hamiltonian mechanics
inferredcites →https://doi.org/10.1103/physreve.55.3581openalex-snapshot
Mechanics with fractional derivatives
inferredcites →https://doi.org/10.1103/physreve.71.011102openalex-snapshot
Fractional systems and fractional Bogoliubov hierarchy equations
inferredcites →https://doi.org/10.1103/physreve.80.022103openalex-snapshot
Fractional-time quantum dynamics
inferredcites →https://doi.org/10.1103/physreve.84.026608openalex-snapshot
Fractional Dirac bracket and quantization for constrained systems
inferredcites →https://doi.org/10.1103/physrevlett.102.111303openalex-snapshot
Fractal Properties of Quantum Spacetime
inferredcites →https://doi.org/10.1103/physrevlett.102.150603openalex-snapshot
Duality and the Knizhnik-Polyakov-Zamolodchikov Relation in Liouville Quantum Gravity
inferredcites →https://doi.org/10.1103/physrevlett.102.161301openalex-snapshot
Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
inferredcites →https://doi.org/10.1103/physrevlett.104.251301openalex-snapshot
Fractal Universe and Quantum Gravity
inferredcites →https://doi.org/10.1103/physrevlett.105.230407openalex-snapshot
Thermodynamics of Photons on Fractals
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Detecting Vanishing Dimensions via Primordial Gravitational Wave Astronomy
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