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We introduce a Random Energy Model on a hierarchical lattice where the interaction strength between variables is a decreasing function of their mutual hierarchical distance, making it a nonmean field model. Through small coupling series expansion and a direct numerical solution of the model, we provide evidence for a spin glass condensation transition… (More)

- Michele Castellana, Giorgio Parisi
- Physical review. E, Statistical, nonlinear, and…
- 2010

The large scale behavior of the simplest non-mean-field spin-glass system is analyzed, and the critical exponent related to the divergence of the correlation length is computed at two loops within the ε-expansion technique with two independent methods. The techniques presented show how the underlying ideas of the renormalization group apply also in this… (More)

- Michele Castellana, Giorgio Parisi
- Scientific reports
- 2015

We present a numerical study of an Ising spin glass with hierarchical interactions--the hierarchical Edwards-Anderson model with an external magnetic field (HEA). We study the model with Monte Carlo (MC) simulations in the mean-field (MF) and non-mean-field (NMF) regions corresponding to d ≥ 4 and d < 4 for the d-dimensional ferromagnetic Ising model… (More)

- Michele Castellana, Maxwell Z Wilson, +5 authors Ned S. Wingreen
- Nature biotechnology
- 2014

We present a quantitative model to demonstrate that coclustering multiple enzymes into compact agglomerates accelerates the processing of intermediates, yielding the same efficiency benefits as direct channeling, a well-known mechanism in which enzymes are funneled between enzyme active sites through a physical tunnel. The model predicts the separation and… (More)

- Michele Castellana, William Bialek
- Physical review letters
- 2014

If we have a system of binary variables and we measure the pairwise correlations among these variables, then the least structured or maximum entropy model for their joint distribution is an Ising model with pairwise interactions among the spins. Here we consider inhomogeneous systems in which we constrain, for example, not the full matrix of correlations,… (More)

- Michele Castellana, Aurelien Decelle, Elia Zarinelli
- Physical review letters
- 2011

We study the probability distribution of the pseudocritical temperature in a mean-field and in a short-range spin-glass model: the Sherrington-Kirkpatrick and the Edwards-Anderson (EA) model. In both cases, we put in evidence the underlying connection between the fluctuations of the pseudocritical point and the extreme value statistics of random variables.… (More)

- Michele Castellana, Sophia Hsin-Jung Li, Ned S. Wingreen
- Proceedings of the National Academy of Sciences…
- 2016

In bacteria such as Escherichia coli, DNA is compacted into a nucleoid near the cell center, whereas ribosomes-molecular complexes that translate mRNAs into proteins-are mainly localized to the poles. We study the impact of this spatial organization using a minimal reaction-diffusion model for the cellular transcriptional-translational machinery. Although… (More)

- Pietro Fezzardi, Michele Castellana, Fabrizio Ferrandi
- 2015 33rd IEEE International Conference on…
- 2015

In this paper we present an approach for debugging hardware designs generated by High-Level Synthesis (HLS), relieving users from the burden of identifying the signals to trace and from the error-prone task of manually checking the traces. The necessary steps are performed after HLS, independently of it and without affecting the synthesized design. For this… (More)

- Michele Castellana, William Bialek, Andrea Cavagna, Irene Giardina
- Physical review. E
- 2016

When European starlings come together to form a flock, the distribution of their individual velocities narrows around the mean velocity of the flock. We argue that, in a broad class of models for the joint distribution of positions and velocities, this narrowing generates an entropic effect that opposes the cohesion of the flock. The strength of this effect… (More)

- Michele Castellana, Lenka Zdeborová
- ArXiv
- 2010

We study the adversarial satisfiability problem, where the adversary can choose whether variables are negated in clauses or not in order to make the resulting formula unsatisfiable. This is one case of a general class of adversarial optimization problems that often arise in practice and are algorithmically much harder than the standard optimization… (More)