We hereby certify that, Alexandre Aronne - Università Degli Studi di Verona participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Ariel Levy - Universidade Federal Fluminense participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Débora Ferreira - Fundação Getúlio Vargas participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Jair Koiller - Fundação Fundação Getúlio Vargas participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Lucas Alves Estevam de Lima - Fundação Getúlio Vargas participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Lucia Maria Chiappara - Universidad de Buenos Aires participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Manuela Moura Dantas - Universidade Federal do Rio de Janeiro participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Marcelo de Paula do Desterro - Instituto Coppead de Administração / UFRJ participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Marcos Oliveira de Pinho - Centro Federal de Educação Tecnológica Celso Suckow da Fonseca participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Milene Andressa Mondek - Instituto de Matematica Pura e Aplicada participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Philip Thompson - Instituto de Mat Matematica Pura e Aplicada participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Rafael Morais de Souza - Pontifícia Universidade Católica do Rio de Janeiro participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee We hereby certify that, Thiago Diego de Sousa Honorio - Universidade Castelo Branco participated in the Mathematical Modelling and Calibration in Commodities and Energy held at IMPA – Rio de Janeiro, from August 15 to 19, 2011. Rio de Janeiro, August 19, 2011. Jorge Zubelli Organizing Committee